Research | Forthcoming | Citations

Preprints of recent papers available from the Arxiv

Isoperimetry and Symmetrization in metric spaces, (jointly with Joaquim Martin).

Symmetrization and sharp Sobolev inequalities in metric spaces (jointly with Jan Kalis).

To appear

Isoperimetry and Symmetrization for Logarithmic Sobolev inequalities, (jointly with Joaquim Martin), to appear in Journal of Functional Analysis

Self Improving Sobolev-Poincar\'{e} Inequalities, Truncation and Symmetrization, (jointly with Joaquim Martin) to appear in Potential Analysis.

Book: Topics in Classical Analysis and Applications in Honor of Daniel Waterman (Edited jointly with L. DeCarli and K. Kazarian), World Scientific.

An abstract Coifman-Rochberg-Weiss commutator theorem, to appear in Topics in Classical Analysis and Applications in Honor of Dan Waterman (jointly with J. Martin)

2007

Interpolation Theory and Applications: A conference in honor of Michael Cwikel, (Edited jointly with Laura De Carli), Contemporary Mathematics 445 (2007); 357 pp

Weakly rearrangement invariant spaces and approximation by largest elements (jointly with Björn Jawerth), Contemporary Mathematics 445 (2007), 103-110.

A note on Sobolev inequalities and limits of Lorentz spaces, (jointly with J. Martin), Contemporary Mathematics 445 (2007), 237-245.

Michael Cwikel: Mathematician (jointly with Richard Rochberg), Contemporary Mathematics 445 (2007), 1-9.

Sobolev Inequalities: Symmetrization and Self Improvement via Truncation, Journal of Functional Analysis 252 (2) (2007), 677-695 (jointly with Joaquim Martin and Evgeniy Pustylnik)

(2007 Paseky Lectures)Optimization, Image Processing and Interpolation Theory, [in Function Spaces, Inequalities and Interpolation, Charles University, Paseky 2007], (jointly with Björn Jawerth)

On the Brudnyi-Krugljak duality theory of spaces formed by the K-method of interpolation (jointly with R. Kerman and G. Sinnamon), Revista Matematica Complutense 20 (2007), no. 2, 367-389.

Higher order symmetrization inequalities and applications (jointly with J. Martin), Journal of Mathematical Analysis and Applications 330 1 (2007), 91-113

Sharp Gagliardo-Nirenberg inequalities via Symmetrization, (jointly with J. Martin), Mathematical Research Letters 14 (2007), 49-62.

2006

Extrapolation methods and Rubio de Francia's extrapolation theorem (jointly with J. Martin), Advances in Mathematics 201 (2006), 209-262. Review #1, Review #2

Weighted norm inequalities and indices, Journal of Function spaces and Applications 4 (2006), 43-71 (jointly with J. Martin). Review

Symmetrization inequalities and Sobolev embeddings, (jointly with J. Martin), Proceedings of the American Mathematical Society 134 (2006), 2335-2347.

2005

Extrapolation Theory: New Results and Applications, (jointly with G. Karadhzov), Journal of Approximation Theory 133 (2005), 38-99, Review#1, Review #2

Limits of higher order Besov spaces and sharp reiteration theorems, (jointly with G. Karadzhov and J. Xiao), Journal of Functional Analysis 221 (2005), 323-339, Review.

Notes on limits of Sobolev spaces and the continuity of Interpolation Scales Transactions of the American Mathematical Society 357 (2005), 3425-3442, Review.

2004

On sharp higher order Sobolev embeddings, Communications in Contemporary Mathematics 6 (2004), 495-511, jointly with E. Pustylnik, Review.

A distance between orbits that controls commutator estimates and invertibility of operators, Advances in Mathematics 182 (2004), 78-123, jointly with N. Krugljak, Review

Some reviews/comments of previous work

Strongly Singular Integral Operators

Extrapolation Theory

Fourier type

Caffarelli-Milman

Prague Seminars

Extrapolation Seminars

Fourier Type Seminar

Fourier Type Dissertation

Adv. Math. 169, No.2, 241-312 (2002)

Mem. Am. Math. Soc. 731, 80 p. (2001), #2

Proc. Am. Math. Soc. 128, No.11, 3329-3334 (2000)

Michigan Math. J. 47 (2000)

Isr. Math. Conf. Proc. 13, 11-23 (1999)

Ann. Acad. Sci. Fenn., Math. 21, No.2, 389-398 (1996)

Univ. Nac. del Sur, Bah?a Blanca, 1995

For a complete listing and reviews of my publications see MathSciNet and MZentralblatt

















 

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