Publications:
 Covering Lemmas and the BMO Estimates for Eigenfunctions on Riemannian Surfaces, pdf
Revista Mathematica Iberoamericana, 7 (3) 1991, 221246.
 Weighted Poincare and Sobolev Inequalities for Vector fields Satisfying Hormander's Condition and Applications, pdf
Revista Matematica Iberoamericana, Vol. 8, No.3, 1992, 367439.
 Existence and size estimates of Green's function for certain differential operators constructed from Degenerate Vector Fields, pdf
Comm. in Partial Differential Equations, 17 (7&8), 1992, 12131251.
 Covering lemmas and an application to nodal geometry on Riemannian manifolds, pdf
Proceedings of Amer. Math. Soc. 117, No. 4, 1993, 971978.
 On Harnack's inequality for a class of degenerate Schrodinger's operators formed by vector fields, pdf
Differential And Integral Equations, 7 (1), 1994, 73100.

The sharp Poincare' inequality for free vector fields: An endpoint result, pdf
Revista Matematica Iberoamericana, 10 (4), 1994, 453466.

Unique continuation with weak type lower order terms: the variable coefficient case, pdf
Publicacions Mathematiques v. 39(1), 1995, 187200.

Embedding theorems on CampanatoMorrey spaces for degenerate vector fields and applications, pdf
C.R. Acad. Sci., Paris, t.320, Serie I, p. 429434, 1995.

(with Franchi, B. and Wheedon, R.) The representation formula and weighted Poincare' inequalities for Hörmander's vector fields, pdf
Ann. Inst. Fourier (Grenoble), 45 (1995), 577604.

(with Franchi, B. and Wheedon, R.) Weighted Poincare' inequalities for Hörmander's vector fields and local regularity for a class of degenerate elliptic equations,
Potential Analysis, 4 (1995) No. 4, 361375.

(with Buckley S. and Koskela P.) Subelliptic Poincare's inequalities : the case p<1, pdf
Publicacions Matematiques, 39 (2), 1995, 314334.

(with Buckley, S. and Koskela, P.) Boman equals John,
Proceedings of 16^{th} Rolf Nevanlinna Colloquium, Joensuu, August,1995, 9199.

(with Franchi, B. and Wheedon, R.) The relationship between Pointcare's type inequalities and representation formulas in metric spaces of homogeneous type, pdf
International Math. Res. Notices, No. 1, 1996, 114.
 A note on Poincare's type inequality for solutions to subelliptic differential equations, pdf
Comm. In Partial Differential Equations, 21 (1 & 2), 1996, 235254.

Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations pdf
Publications Matematiques 40 (2), 1996, 301329.

A FeffermanPhong type inequality for degenerate vector fields and applications,
PanAmerican Mathematical Journal, (133) 1997, No. 2, 340354.

(with Wei, J.) On positive entire solutions for the Yamabe type problems on the Heisenberg and stratified groups,pdf
Electronic Research Announcements of AMS, vol. 3, 1997, 8389.

(with Wolff, T.) Unique continuation with weak type lower order terms, pdf
Potential Analysis, 7 (1997), 603614.

(with Chen, S.) Asymptotic behavior for radial solutions for a certain class of semilinear equations, pdf
Journal of Differential Equations, (133) 1997, No. 2 340354.
 Local and Global Sobolev interpolation inequalities for the FollandStein Sobolev spaces on stratified groups, pdf
Mathematical Research Letters, 4 1997, 777790.
 (with Wei,J.) On nonlinear Schrodinger equations with totally degenerate potentials, pdf
C. R. Acad. Sci. Paris., t.326, Serie I, 1998, 691696.
 Embedding theorems on CampanatoMorrey spaces for vector fields of Hormander type,
Approximation theory and its applications, 14 (1), 1998, 6980.
 (with Wheeden, R.) An optimal representation formula for CarnotCaratheadory vector fields,
Bulletin of London Math. Soc 30, 1998, 578584.
 (with Wheeden, R.) Poincare's inequalities, isoperimetric estimates and Representation formulas on product spaces,pdf
Indian Univ. Math. Jour. 47 (1), 1998, 123151.
 (with Chen, S.) Existence and nonexistence for positive radial solutions to a class of semilinear elliptic system,
Nonlinear Analysis 38, 1999, No.7, 919932.

(with Liu, Y.) Simultaneous approximation for Sobolev functions by the derivative of polyharmonic cardinal splines,
J. Approx. Theory 101, 1999, No. 1, 4962.

Extension and interpolation theorems on weighted anisotropic Sobolev spaces on stratified groups,
Math. Sci. Res. HotLine 3 (6), 1999, 127.

(with Iosevich, A.) Sharpness results and Knapp's homogeneity argument,
Canadian Math. Bulletin, 43, 2000, No. 1, 6368.

(with Wei, J.) On a Sobolev inequality with remainder terms,
Proceedings of Amer. Math. Soc., 128, 2000, No. 1, 7584.

(with Wheeden, R.) High order representation formulas and embedding theorems on stratified groups and generalizations,
Studia Mathematica, 142(2) (2000), 101133.

Polynomials, higher order Sobolev extension theorem and interpolation inequalities on weighted FollandStein spaces on stratified groups,
Acta Mathematica Sinica, English Series, 16(3) (2000), 405444.

(with Baldi, A. and Franchi, B.) An existence result for a class of semilinear subelliptic PDE's,
Richerche Matematicas, Vol. XLIX (2000), 177193.

(with Wei, J.; Xu, X.) On conformally invariant equations and its generalizations, pdf
Ann. Mat. Pura. Appl. (IV), vol. CLXXIX (2001), 309329.

(with Chen, X.) Asymptotic estimates of oscillatory radial solutions for certain semilinear elliptic equations,
Differential and Integral Equations, V.14 (11), 2001, 13671380.

(with Cohn, W.) Best constants for MoserTrudinger inequalities on the Heisenberg group, pdf
Indiana University Math. Journal 50 (2001), no. 4, 15671591.
 (with Lu, S. and Yang, D.) Some remarks on singular integrals on homogeneous groups,
Analysis Mathematica 28 (2002), no. 2, 103134.

(with Perez, C.) The L^{1} to L^{q} Poincare inequalities for 0<q<1 imply Representation formulas,
Acta Mathematica Sinica, English Series 18 (2002), no. 1, 120.
 (with Liu, Y. and Wheeden, R.) Some equivalent definitions of high order Sobolev spaces on stratisfied groups and generalizations to metric spaces pdf
Mathematische Annalen 323 (2002), no. 1, 157174

(with Cohn, W.) Best constants for MoserTrudinger inequalities, Fundamental solutions and oneparameter representation formulas on groups of Heisenberg type,
Acta Math. Sinica, English Series 18 (2002), no. 2, 375390

(with Z. Liu and S. Lu) Continuity properties for the maximal operator associated with the commutator of the BochnerRiesz operator, Publ. Mat. 47 (2003), no. 1, 4569.
Publ. Mat. 47 (2003), no. 1, 4569.

(with W. Cohn and S. Lu) Higher order Poincaré inequalities associated with linear operators on stratified groups and applications.
pdf
Math. Z. 244 (2003), no. 2, 309335

(with J. Manfredi and B. Stroffolini) Convex functions on the Heisenberg group
pdf
Calc. Var. Partial Differential Equations 19 (2004), no. 1, 122.

Potential analysis on Carnot groups. II. Relationship between Hausdorff measures and capacities
Acta Math. Sin. (Engl. Ser.) 20 (2004), no. 1, 2546.

(with Wheeden, R.) Simultaneous representation and approximation formulas and highorder Sobolev embedding theorems on
stratified groups pdf
Constr. Approx. 20 (2004), no. 4, 647668.

(with W. Cohn) Sharp constants for MoserTrudinger inequalities on spheres in complex space $\Bbb C\sp n$ pdf
Comm. Pure Appl. Math. 57 (2004), no. 11, 14581493.

(with B. Ou) Biao A Poincare inequality on $R\sp n$ and its application to potential fluid flows in space
Comm. Appl. Nonlinear Anal. 12 (2005), no. 1, 124.

(with Y. Dong .)On second order minimal Lagrangian submanifolds in complex space forms pdf
Sci. China Ser. A 48 (2005), no. 11, 15051516.

(with Q. Huang) On a priori $C\sp {1,\alpha}$ and $W\sp {2,p}$ estimates for a parabolic MongeAmpere equation in the Gauss curvature flows
pdf
Amer. J. Math. 128 (2006), no. 2, 453480.

(with F. Ferrari and B. Franchi)On a relative AlexandrovFenchel inequality for convex bodies in
Euclidean spaces, pdf
Forum Math. 18 (2006), no. 6, 907921

(with Cohn and Wang) Subelliptic global high order Poincare inequalities in stratified Lie groups and applications pdf
Journal of Functional Analysis 249 (2007) 393424.

(with Juutinen, Manfredi and Stroffolini) Convex functions on Carnot groups pdf
Revista Mathematica Iberoamericana, 23 (2007), 191200.

(with Dong and Sun) Global Poincare inequalities on the Heisenberg group and applications pdf
Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 4, 735744.

(with P.Y. Wang) On inhomogeneous infinity Laplace equation pdf
Advances in Mathematics, 217(2008), 18381868.

(with P.Y. Wang) A PDE Perspective of The Normalized Infinity Laplacian pdf
Communication in Partial Differential Equations, 33: 17881817, 2008.

(with Y. Han) Discrete LittlewoodPaleyStein theory and multiparameter Hardy spaces associated with flag singular integrals
pdf
arXiv:0801.1701

(with Y. Yang) Sharp constants and extremal functions for the modified MoserTrudinger inequality involving L^p
norm in two dimension pdf
Discrete Contin. Dyn. Syst. 25 (2009), no. 3, 963979.

(with Y. Yang) ADAMS' INEQUALITIES FOR BILAPLACIAN AND EXTREMAL FUNCTIONS IN DIMENSION FOUR pdf
Adv. Math. 220 (2009), no. 4, 11351170.

(with Y. Han and J. Li) Duality of multiparameter Hardy spaces Hp on spaces of homogeneous type. pdf
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 9 (2010), no. 4, 645685.

(with Y. Han) Some recent works on multiparameter Hardy space theory and discrete LittlewoodPaley analysis pdf
Trends in partial differential equations, 99191, Adv. Lect. Math. (ALM), 10, Int. Press, Somerville, MA, 2011

(with Y. Yang) A SHARPENED MOSERPOHOZAEVTRUDINGER INEQUALITY
WITH MEAN VALUE ZERO IN R2 pdf
Nonlinear Anal. 70 (2009), no. 8, 29923001.

(with Y. Han and K. Zhao) Discrete Calderon's identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces.
pdf
J. Geom. Anal. 20 (2010), no. 3, 670689.

(with P. Wang) On the uniqueness of a solution of a twophase free boundary problem. pdf
J. Funct. Anal. 258 (2010), no. 8, 28172833.

(with Y. Han, J. Li and P. Wang) H^p to H^p boundedness implies H^p to L^p boundedness,
pdf
Forum Math. 23 (2011), 729756.

(with J. Zhu) Symmetry and regularity of extremals of an integral
equation related to the HardySobolev inequality.
pdf
Calc. Var. PDEs (2011) 42:563577

(with S. Hofmann, D. Mitrea, M. Mitrea and L. Yan) HARDY SPACES ASSOCIATED TO NONNEGATIVE SELFADJOINT OPERATORS SATISFYING DAVIESGAFFNEY ESTIMATES
pdf
Memoires of AMS 214, 2011

(with X. Han) A geometric covering lemma and nodal sets of eigenfunctions. pdf
Math. Res. Lett. 18 (2011), no. 2, 337352.

(with J. Zhu) Characterization of balls in terms of Besselpotential integral
equation.
pdf
Journal of Differential Equations 252 (2012), no. 2, 15891602.

(with Y. Zhu) Bounds of Singular Integrals onWeighted Hardy
Spaces and Discrete LittlewoodPaley Analysis.
pdf
Journal of Geometric Analysis 22 (2012), no. 3, 666684.

(with J. Zhu) The Axial Symmetry and Regularity of Solutions to
an Integral Equation in a Half Space.
pdf
Pacific Journal of Mathematics 253 (2011), no. 2, 455473.

(with J. Zhu) An overdetermined problem in Rieszpotential and fractional Laplacian.
pdf
Nonlinear AnalysisTheory, Methods and Applications, 75 (2012), no. 6, 30363048.
.

(with Nguyen Lam) Existence and multiplicity of
solutions to equations of NLaplacian type with critical exponential growth
pdf
Journal of Functional Analysis, 262 (2012), 11321165.

(with W. Cohn, N. Lam and Y. Yang) The MoserTrudinger inequality in unbounded domains of Heisenberg group and subelliptic equations
pdf
Nonlinear AnalysisTheory, Methods and Applications, 75 (2012), no. 12, 44834495.

(with N. Lam) Sharp singular Adams inequalities in high order Sobolev spaces
pdf
arXiv:1112.6431v1 (to appear in Methods and Applications of Analysis (2013))

(with N. Lam) NLaplacian equations in $\mathbb{R}^{N}$ with subcritical and critical growth without the AmbrosettiRabinowitz condition
pdf
arXiv:1012.5489v1 (to appear in Advanced Nonlinear Studies (2013))

(with N. Lam) Sharp Adams type inequalities in Sobolev spaces $W^{m, \frac{n}{m}}(R^n)$
for arbitrary integer $m$
pdf
arXiv:1112.6397v11, J. Differential Equations 253 (2012), no. 4, 11431171.

(with N. Lam) Sharp MoserTrudinger inequality on the Heisenberg group at the critical case and applications.
pdf
Advances in Mathematics 231 (2012), no. 6, 32593287.

(with P. Wang and J. Zhu) Liouvilletype theorems and decay estimates for solutions to higher order elliptic equations.
pdf
Ann. Inst. H. Poincare Anal. Non Lineaire 29 (2012), no. 5, 653665.

(with Y. Ding, Y. Han and X. Wu) Boundedness of singular integrals on multiparameter weighted Hardy spaces Hpw (RnXRm).
pdf
Potential Anal. 37 (2012), no. 1, 3156.

(with Nguyen Lam) Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth.
pdf
Discrete Contin. Dyn. Syst. 32 (2012), no. 6, 21872205.

(with X. Han and J. Zhu) HardyLittlewoodSobolev and SteinWeiss inequalities and integral systems on the Heisenberg group.
pdf
Nonlinear Anal. 75 (2012), no. 11, 42964314.

(with Y. Han, J. Li) Multiparameter Hardy space theory on CarnotCaratheodory spaces and product spaces of homogeneous type.
pdf
Trans. Amer. Math. Soc. 365 (2013), no. 1, 319360.

(with Z. Ruan) Duality theory of weighted Hardy spaces with arbitrary number of parameters
pdf
Forum Mathematicum (2013)

(with Nguyen Lam) Elliptic Equations and Systems with Subcritical and Critical Exponential Growth
Without the AmbrosettiRabinowitz Condition
pdf
Journal of Geometric Analysis (2013) (published online in 2012)

(with Y. Han and Z. Ruan) Boundedness criterion of Journe's class of singular integrals on multiparameter Hardy spaces
pdf
Journal of Functional Analysis 264 (2013), 12381268.

(with Y. Han and E. Sawyer)
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group: an expanded version
pdf
Anal. PDE 7 (2014), no. 7, 14651534. arXiv:1208.2484

(with Y. Han, C. Lin, Z. Ruan and and E. Sawyer) Hardy spaces associated with different homogeneity and boundedness of composition operators
pdf
Rev. Mat. Iberoam. 29 (2013), no. 4, 11271157.

(with Y. Zhu) Singular integrals and weighted TriebelLizorkin and Besov spaces of arbitrary number of parameters.
pdf
Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 1, 3952.

(with H. Tang) Best constants for MoserTrudinger inequalities on high dimensional hyperbolic spaces,
pdf
Adv. Nonlinear Stud. 13 (2013), no. 4, 10351052.

(with J. Zhu) Liouvilletype theorems for fully nonlinear elliptic equations and systems in half spaces,
pdf
Adv. Nonlinear Stud. 13 (2013), no. 4, 9791001.

(with N. Lam) NLaplacian equations in RN with subcritical and critical growth without the AmbrosettiRabinowitz condition,
pdf
Adv. Nonlinear Stud. 13 (2013), no. 2, 289308.

(with N. Lam and H. Tang)
Sharp subcritical MoserTrudinger inequalities on Heisenberg groups and subelliptic PDEs.
pdf
Nonlinear Anal. 95 (2014), 7792.

(with J. Chen)
Hormander type theorems for multilinear and multiparameter Fourier multiplier operators with limited smoothness
pdf
Nonlinear Anal. 101 (2014), 98112.

(with P. Zhang)
Multilinear CalderonZygmund operators with kernels of Dini's type and applications,
pdf
Nonlinear Anal. 107 (2014), 92117.

(with X. Cui and N. Lam) New characterizations of Sobolev spaces on the Heisenberg group,
pdf
J. Funct. Anal. 267 (2014), no. 8, 29622994.

(with Q. Hong) Symbolic calculus and boundedness of multiparameter and multilinear pseudodifferential operators,
pdf
Adv. Nonlinear Stud. 14 (2014), no. 4, 10551082.

(with J. Zhu) The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations,
pdf
J. Differential Equations 258 (2015), no. 6, 20542079.

(with X. Cui and N. Lam) Characterizations of second order Sobolev spaces,
pdf
Nonlinear Anal. 121 (2015), 241261.

(with W. Dai) Lp estimates for bilinear and multiparameter Hilbert transforms,
pdf
Anal. PDE 8 (2015), no. 3, 675712.

(with X. Li and H. Tang) Poincare and Sobolev inequalities for vector fields satisfying Hormander's condition in variable exponent Sobolev spaces,
pdf
Acta Math. Sin. (Engl. Ser.) 31 (2015), no. 7, 10671085.

(with H. Tang and M. Zhu) Best constants for Adams' inequalities with the exact growth condition in Rn,
pdf
Adv. Nonlinear Stud. 15 (2015), no. 4, 763788.

(with W. Dai) Lp ESTIMATES FOR MULTILINEAR AND MULTIPARAMETER PSEUDODIFFERENTIAL OPERATORS,
pdf
Bull. Soc. math. France
143 (3), 2015, p. 567597.

(with J. Bao and N. Lam) Polyharmonic equations with critical exponential growth in the whole space Rn.
pdf
Discrete Contin. Dyn. Syst. 36 (2016), no. 2, 577600.

(with W. Ding and Y. Zhu) Multiparameter TriebelLizorkin spaces associated with the composition of two singular integrals and their atomic decomposition,
pdf
Forum Math. 28 (2016), no. 1, 2542.

(with J. Hart) Hardy Space Estimates for LittlewoodPaleyStein Square Functions and CalderonZygmund Operators,
pdf
J. Fourier Anal. Appl. 22 (2016), no. 1, 159186.

(with J. Hart) Hardy space estimates for bilinear square functions and CalderonZygmund operators,
pdf
to appear in Indiana University Mathematics Journal.

(with M. Dong) Best constants and existence of maximizers for weighted TrudingerMoser inequalities,
pdf
Calc. Var. Partial Differential Equations 55 (2016), no. 4, Art. 88, 26 pp.

(with N. Lam and L. Zhang) Equivalence of critical and subcritical sharp TrudingerMoserAdams inequalities,
pdf
arxiv.org, Revista Matematica Iberoamericana, 33 (2017), no. 4, 12191246.

(with H. Tang) Sharp MoserTrudinger inequalities on hyperbolic spaces with exact growth condition,
pdf
J. Geom. Anal. 26 (2016), no. 2, 837857.

(with N. Lam) Sharp constants and optimizers for a class of the CaffarelliKohnNirenberg inequalities,
pdf
Adv. Nonlinear Stud. 17 (2017), no. 3, 457480.

(with Q. Hong and L. Zhang) Lp Boundedness of rough Biparameter Fourier Integral Operators,
pdf
Forum Mathematicum

(with Q. Yang) A sharp TrudingerMoser inequality on any bounded and convex planar domain,
pdf
Calc. Var. Partial Differential Equations 55 (2016), no. 6, Art. 153, 16 pp.

(with W. Ding) DUALITY OF MULTIPARAMETER TRIEBELLIZORKIN SPACES ASSOCIATED WITH THE COMPOSITION OF TWO SINGULAR INTEGRAL OPERATORS,
pdf
Transactions of American Mathematical Society, 368 (2016), no. 10, 71197152.

(with Q. Yang) Sharp HardyAdams inequalities for biLaplacian on hyperbolic space of dimension four,
pdf
Adv. Math. 319 (2017), 567598.

(with N. Lam and H. Tang) Sharp affine and improved MoserTrudingerAdams type inequalities on unbounded domains in the spirit of Lions,
pdf
J. Geom. Anal. 27 (2017), no. 1, 300334.

(with L. Zhang) L^p estimates for a trilinear pseudodifferential operator with flag symbols,
pdf
Indiana University Mathematics Journal, 66 (2017), no. 3, 877900.