Publications:
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Covering Lemmas and the BMO Estimates for Eigenfunctions on Riemannian Surfaces, pdf
Revista Mathematica Iberoamericana, 7 (3) 1991, 221-246.
- Weighted Poincare' and Sobolev Inequalities for Vector fields Satisfying Hörmander's Condition and Applications, pdf
Revista Matematica Iberoamericana., Vol. 8, No.3, 1992, 367-439.
- 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, 1213-1251.
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Covering lemmas and an application to nodal geometry on Riemannian manifolds, pdf
Proceedings of Amer. Math. Soc. 117, No. 4, 1993, 971-978.
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On Harnack's inequality for a class of degenerate Schrodinger's operators formed by vector fields, pdf
Differential And Integral Equations, 7 (1), 1994, 73-100.
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The sharp Poincare' inequality for free vector fields: An endpoint result, pdf
Revista Matematica Iberoamericana, 10 (4), 1994, 453-466.
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Unique continuation with weak type lower order terms: the variable coefficient case, pdf
Publicacions Mathematiques v. 39(1), 1995, 187-200.
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Embedding theorems on Campanato-Morrey spaces for degenerate vector fields and applications, pdf
C.R. Acad. Sci., Paris, t.320, Serie I, p. 429-434, 1995.
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(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), 577-604.
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(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, 361-375.
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(with Buckley S. and Koskela P.) Subelliptic Poincare' inequalities : the case p<1, pdf
Publicacions Matematiques, 39 (2), 1995, 314-334.
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(with Buckley, S. and Koskela, P.) Boman equals John,
Proceedings of 16th Rolf Nevanlinna Colloquium, Joensuu, August,1995, 91-99.
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(with Franchi, B. and Wheedon, R.) The relationship between Pointcare' type inequalities and representation formulas in metric spaces of homogeneous type, pdf
International Math. Res. Notices, No. 1, 1996, 1-14.
- A note on Poincare' type inequality for solutions to subelliptic differential equations, pdf
Comm. In Partial Differential Equations, 21 (1 & 2), 1996, 235-254.
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Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations pdf
Publications Matematiques 40 (2), 1996, 301-329.
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A Fefferman-Phong type inequality for degenerate vector fields and applications,
PanAmerican Mathematical Journal, (133) 1997, No. 2, 340-354.
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(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, 83-89.
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(with Wolff, T.) Unique continuation with weak type lower order terms, pdf
Potential Analysis, 7 (1997), 603-614.
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(with Chen, S.) Asymptotic behavior for radial solutions for a certain class of semilinear equations, pdf
Journal of Differential Equations, (133) 1997, No. 2 340-354.
- Local and Global Sobolev interpolation inequalities for the Folland-Stein Sobolev spaces on stratified groups, pdf
Mathematical Research Letters, 4 1997, 777-790.
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(with Wei,J.) On nonlinear Schrodinger equations with totally degenerate potentials, pdf
C. R. Acad. Sci. Paris., t.326, Serie I, 1998, 691-696.
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Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type,
Approximation theory and its applications, 14 (1), 1998, 69-80.
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(with Wheeden, R.) An optimal representation formula for Carnot-Carathéodory vector fields,
Bulletin of London Math. Soc 30, 1998, 578-584.
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(with Wheeden, R.) Poincare' inequalities, isoperimetric estimates and Representation formulas on product spaces,pdf
Indian Univ. Math. Jour. 47 (1), 1998, 123-151.
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(with Chen, S.) Existence and nonexistence for positive radial solutions to a class of semilinear elliptic system,
Nonlinear Analysis 38, 1999, No.7, 919-932.
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(with Liu, Y.) Simultaneous approximation for Sobolev functions by the derivative of polyharmonic cardinal splines,
J. Approx. Theory 101, 1999, No. 1, 49-62.
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Extension and interpolation theorems on weighted anisotropic Sobolev spaces on stratified groups,
Math. Sci. Res. Hot-Line 3 (6), 1999, 1-27.
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(with Iosevich, A.) Sharpness results and Knapp's homogeneity argument,
Canadian Math. Bulletin, 43, 2000, No. 1, 63-68.
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(with Wei, J.) On a Sobolev inequality with remainder terms,
Proceedings of Amer. Math. Soc., 128, 2000, No. 1, 75-84.
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(with Wheeden, R.) High order representation formulas and embedding theorems on stratified groups and generalizations,
Studia Mathematica, 142(2) (2000), 101-133.
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Polynomials, higher order Sobolev extension theorem and interpolation inequalities on weighted Folland-Stein spaces on stratified groups,
Acta Mathematica Sinica, English Series, 16(3) (2000), 405-444.
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(with Baldi, A. and Franchi, B.) An existence result for a class of semilinear subelliptic PDE's,
Richerche Matematicas, Vol. XLIX (2000), 177-193.
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(with Wei, J.; Xu, X.) On conformally invariant equations and its generalizations, pdf
Ann. Mat. Pura. Appl. (IV), vol. CLXXIX (2001), 309-329.
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(with Chen, X.) Asymptotic estimates of oscillatory radial solutions for certain semilinear elliptic equations,
Differential and Integral Equations, V.14 (11), 2001, 1367-1380.
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(with Cohn, W.) Best constants for Moser-Trudinger inequalities on the Heisenberg group, pdf
Indiana University Math. Journal 50 (2001), no. 4, 1567--1591.
- (with Lu, S. and Yang, D.) Some remarks on singular integrals on homogeneous groups,
Analysis Mathematica 28 (2002), no. 2, 103--134.
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(with Perez, C.) The L1 to Lq Poincare inequalities for 0<q<1 imply Representation formulas,
Acta Mathematica Sinica, English Series 18 (2002), no. 1, 1--20.
- (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, 157--174
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(with Cohn, W.) Best constants for Moser-Trudinger inequalities, Fundamental solutions and one-parameter representation formulas on groups of Heisenberg type,
Acta Math. Sinica, English Series 18 (2002), no. 2, 375--390
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(with Z. Liu and S. Lu) Continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator, Publ. Mat. 47 (2003), no. 1, 45--69.
Publ. Mat. 47 (2003), no. 1, 45--69.
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(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, 309--335
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(with J. Manfredi and B. Stroffolini) Convex functions on the Heisenberg group
pdf
Calc. Var. Partial Differential Equations 19 (2004), no. 1, 1--22.
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Potential analysis on Carnot groups. II. Relationship between Hausdorff measures and capacities
Acta Math. Sin. (Engl. Ser.) 20 (2004), no. 1, 25--46.
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(with Wheeden, R.) Simultaneous representation and approximation formulas and high-order Sobolev embedding theorems on
stratified groups pdf
Constr. Approx. 20 (2004), no. 4, 647--668.
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(with W. Cohn) Sharp constants for Moser-Trudinger inequalities on spheres in complex space $\Bbb C\sp n$ pdf
Comm. Pure Appl. Math. 57 (2004), no. 11, 1458--1493.
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(with B. Ou) Biao A Poincaré inequality on $R\sp n$ and its application to potential fluid flows in space
Comm. Appl. Nonlinear Anal. 12 (2005), no. 1, 1--24.
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(with Y. Dong .)On second order minimal Lagrangian submanifolds in complex space forms pdf
Sci. China Ser. A 48 (2005), no. 11, 1505-1516.
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(with Q. Huang) On a priori $C\sp {1,\alpha}$ and $W\sp {2,p}$ estimates for a parabolic Monge-Ampère equation in the Gauss curvature flows
pdf
Amer. J. Math. 128 (2006), no. 2, 453--480.
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(with F. Ferrari and B. Franchi)On a relative Alexandrov-Fenchel inequality for convex bodies in
Euclidean spaces, pdf
Forum Math. 18 (2006), no. 6, 907--921
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(with Cohn and Wang) Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications pdf
Journal of Functional Analysis 249 (2007) 393–424.
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(with Juutinen, Manfredi and Stroffolini) Convex functions on Carnot groups pdf
Revista Mathematica Iberoamericana, 23 (2007), 191-200.
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(with Dong and Sun) Global Poincar inequalities on the Heisenberg group and applications pdf
Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 4, 735-744.
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(with P.Y. Wang) On inhomogeneous infinity Laplace equation pdf
Advances in Mathematics, 217(2008), 1838-1868.
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(with P.Y. Wang) A PDE Perspective of The Normalized Infinity Laplacian pdf
Communication in Partial Differential Equations, 33: 1788–1817, 2008.
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(with Y. Han) Discrete Littlewood-Paley-Stein theory and multiparameter Hardy spaces associated with flag singular integrals
pdf
submitted
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(with Y. Yang) Sharp constants and extremal functions for the modified Moser-Trudinger inequality involving L^p
norm in two dimension pdf
Discrete Contin. Dyn. Syst. 25 (2009), no. 3, 963–979.
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(with Y. Yang) ADAMS' INEQUALITIES FOR BI-LAPLACIAN AND EXTREMAL FUNCTIONS IN DIMENSION FOUR pdf
Adv. Math. 220 (2009), no. 4, 1135–1170.
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(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, 645–685.
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(with Y. Han) Some recent works on multi-parameter Hardy space theory and discrete Littlewood-Paley analysis pdf
Trends in partial differential equations, 99–191, Adv. Lect. Math. (ALM), 10, Int. Press, Somerville, MA, 2010
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(with Y. Yang) A SHARPENED MOSER-POHOZAEV-TRUDINGER INEQUALITY
WITH MEAN VALUE ZERO IN R2 pdf
Nonlinear Anal. 70 (2009), no. 8, 2992–3001.
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(with Y. Han and K. Zhao) Discrete Calderón's identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces.
pdf
J. Geom. Anal. 20 (2010), no. 3, 670–689.
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(with P. Wang) On the uniqueness of a solution of a two-phase free boundary problem. pdf
J. Funct. Anal. 258 (2010), no. 8, 2817–2833.
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(with S. HOFMANN, D. MITREA, M. MITREA AND L. YAN) H^p to H^p boundedness implies H^p to L^p boundedness,
pdf
Forum Math. 23 (2011), 729–756.
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(with X. Han) Symmetry and regularity of extremals of an integral
equation related to the Hardy–Sobolev inequality.
pdf
Calc. Var. PDEs (2011) 42:563–577
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(with Y. Han, J. Li and P. Wang) HARDY SPACES ASSOCIATED TO NON-NEGATIVE SELF-ADJOINT OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES
pdf
Memoires of AMS 214, 2011
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(with X. Han) A geometric covering lemma and nodal sets of eigenfunctions. pdf
Math. Res. Lett. 18 (2011), no. 2, 337–352.
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(with J. Zhu) Characterization of balls in terms of Bessel-potential integral
equation.
pdf
Journal of Differential Equations.
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(with Y. Zhu) Bounds of Singular Integrals onWeighted Hardy
Spaces and Discrete Littlewood–Paley Analysis.
pdf
Journal of Geometric Analysis.
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(with J. Zhu) The Axial Symmetry and Regularity of Solutions to
an Integral Equation in a Half Space.
pdf
Pacific Journal of Mathematics.
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(with J. Zhu) An overdetermined problem in Riesz-potential and fractional Laplacian.
pdf
Nonlinear Analysis-Theory, Methods and Applications, Published Online in December 2011
.
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(with Nguyen Lam) Existence and multiplicity of
solutions to equations of N-Laplacian type with critical exponential growth
pdf
Journal of Functional Analysis, 262 (2012), 1132-1165.
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(with W. Cohn, N. Lam and Y. Yang) The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations
pdf
Nonlinear Analysis-Theory, Methods and Applications, Published Online in November, 2011.
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(with N. Lam) Sharp singular Adams inequalities in high order Sobolev spaces
pdf
arXiv:1112.6431v1
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(with N. Lam) N-Laplacian equations in $\mathbb{R}^{N}$ with subcritical and critical growth without the Ambrosetti-Rabinowitz condition
pdf
arXiv:1012.5489v1
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(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