publist0214

Publications:

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.

Covering lemmas and an application to nodal geometry on Riemannian manifolds, pdf

Proceedings of Amer. Math. Soc. 117, No. 4, 1993, 971-978.

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.

The sharp Poincare' inequality for free vector fields: An endpoint result, pdf

Revista Matematica Iberoamericana, 10 (4), 1994, 453-466.

Unique continuation with weak type lower order terms: the variable coefficient case, pdf

Publicacions Mathematiques v. 39(1), 1995, 187-200.

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.

(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.

(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.

(with Buckley S. and Koskela P.) Subelliptic Poincare' inequalities : the case p<1, pdf

Publicacions Matematiques, 39 (2), 1995, 314-334.

(with Buckley, S. and Koskela, P.) Boman equals John,

Proceedings of 16^th Rolf Nevanlinna Colloquium, Joensuu, August,1995, 91-99.

(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.

Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations pdf

Publications Matematiques 40 (2), 1996, 301-329.

A Fefferman-Phong type inequality for degenerate vector fields and applications,

PanAmerican Mathematical Journal, (133) 1997, No. 2, 340-354.

(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.

(with Wolff, T.) Unique continuation with weak type lower order terms, pdf

Potential Analysis, 7 (1997), 603-614.

(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.

(with Wei,J.) On nonlinear Schrodinger equations with totally degenerate potentials, pdf

C. R. Acad. Sci. Paris., t.326, Serie I, 1998, 691-696.

Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type,

Approximation theory and its applications, 14 (1), 1998, 69-80.

(with Wheeden, R.) An optimal representation formula for Carnot-Carathéodory vector fields,

Bulletin of London Math. Soc 30, 1998, 578-584.

(with Wheeden, R.) Poincare' inequalities, isoperimetric estimates and Representation formulas on product spaces,pdf

Indian Univ. Math. Jour. 47 (1), 1998, 123-151.

(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.

(with Liu, Y.) Simultaneous approximation for Sobolev functions by the derivative of polyharmonic cardinal splines,

J. Approx. Theory 101, 1999, No. 1, 49-62.

Extension and interpolation theorems on weighted anisotropic Sobolev spaces on stratified groups,

Math. Sci. Res. Hot-Line 3 (6), 1999, 1-27.

(with Iosevich, A.) Sharpness results and Knapp's homogeneity argument,

Canadian Math. Bulletin, 43, 2000, No. 1, 63-68.

(with Wei, J.) On a Sobolev inequality with remainder terms,

Proceedings of Amer. Math. Soc., 128, 2000, No. 1, 75-84.

(with Wheeden, R.) High order representation formulas and embedding theorems on stratified groups and generalizations,

Studia Mathematica, 142(2) (2000), 101-133.

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.

(with Baldi, A. and Franchi, B.) An existence result for a class of semilinear subelliptic PDE's,

Richerche Matematicas, Vol. XLIX (2000), 177-193.

(with Wei, J.; Xu, X.) On conformally invariant equations and its generalizations, pdf

Ann. Mat. Pura. Appl. (IV), vol. CLXXIX (2001), 309-329.

(with Chen, X.) Asymptotic estimates of oscillatory radial solutions for certain semilinear elliptic equations,

Differential and Integral Equations, V.14 (11), 2001, 1367-1380.

(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.

(with Perez, C.) The L¹ to L^q 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

(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

(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.

(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

(with J. Manfredi and B. Stroffolini) Convex functions on the Heisenberg group pdf

Calc. Var. Partial Differential Equations 19 (2004), no. 1, 1--22.

Potential analysis on Carnot groups. II. Relationship between Hausdorff measures and capacities

Acta Math. Sin. (Engl. Ser.) 20 (2004), no. 1, 25--46.

(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.

(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.

(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.

(with Y. Dong .)On second order minimal Lagrangian submanifolds in complex space forms pdf

Sci. China Ser. A 48 (2005), no. 11, 1505-1516.

(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.

(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

(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.

(with Juutinen, Manfredi and Stroffolini) Convex functions on Carnot groups pdf

Revista Mathematica Iberoamericana, 23 (2007), 191-200.

(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.

(with P.Y. Wang) On inhomogeneous infinity Laplace equation pdf

Advances in Mathematics, 217(2008), 1838-1868.

(with Y. Han)Discrete Littlewood-Paley-Stein theory and Multiparameter Hardy spaces associated with flag singular integral operators, pdf

(with P.Y. Wang) A PDE Perspective of The Normalized Infinity Laplacian pdf

To Appear on Communication in Partial Differential Equations