| Research Interests
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I am currently interested in Sobolev inequalities, concentration inequalities, isoperimetry, and their applications. In particular, my group has developed a new approach to study these inequalities using isoperimetry and symmetrization techniques. I am also working on applications of Approximation theory and Harmonic Analysis to Image Processing, Optimization and Learning theory. I have collaborated with researchers from all over the world. Currently I have ongoing projects with researchers from Israel, Poland, Spain and the US.
Analysis at Urbana, 1987
Harmonic Analysis and PDEs, FAU, Boca Raton 1988
International Workshop on Interpolation Spaces and Related Topics, Haifa, 1990
II Coloquio Latinoamericano de Analisis, Bogota, Colombia, 1993
Conference in Honor of Mischa Cotlar, Caracas, 1994
INTEGRAL INEQUALITIES AND NON LINEAR VARIATIONAL PROBLEMS, Ischia - Napoli, 1995
International Workshop on Interpolation spaces and related topics, Haifa, 1995
Special Session on "Functional and Harmonic Analysis", II Joint Meeting American Mathematical Society-Sociedad Matem?tica Mexicana, Guanajuato, Mexico, 1995.
PASEKY 2001: Spring School on Function Spaces and Interpolation
AMS 2002 Spring Eastern Section Meeting Montreal Meeting, Quebec Canada, May 3-5, 2002,
Special Session on Function Spaces in Harmonic Analysis and PDEs
AMS 2002 Fall Southeastern Section Meeting Orlando, FL, November 9-10, 2002
Special Session on Function Spaces, Singular Integrals and Applications to PDEs
Analysis on Metric Spaces,
Banach Center Bedlevo, Poland, July 15-23, 2004
Second South Florida Analysis Seminar, FIU, October 22, 2005.
Conference on Partial Differential Equations and Applications, November 11-13, 2005, University of Florida
Colloquium, Argentine Institute
of Mathematics, December 2, 2005
Interactions between Harmonic Analysis and PDEs, March 24-26, 2006, University of Missouri.
Interpolation theory and applications. Conference in honor of Michael Cwikel, March 29-31, 2006, Miami, Fl.
AMS 2006 Spring South Eastern Meeting, April 1-2, 2006, Miami, Fl, Special Session on Harmonic Analysis and PDEs
AMS 2006 Spring South Eastern Meeting, April 1-2, 2006, Miami, Fl, Special Session on Interpolation theory and applications
Third South Florida Analysis Seminar: Conference in honor of Dan Waterman, March 30-April 1, 2007, Fort Lauderdale, Fl.
Spring School on Analysis, Paseky 2007, May 27- June 2, Czech Republic, Function Spaces, Inequalities and Interpolation.
An afternoon with Mischa Cotlar, October 12, 2007, University of New Mexico, Mischa Cotlar Pictures
Analysis Seminar: University of Texas, Austin, March 5, 2008.
South Florida Analysis Seminar 5, FAU, March 29, 2008.
Concentration, Functional Inequalities and Isoperimetry, 2009 AMS Fall Southeast Meeting, October 30-November 1, 2009, FAU, Boca Raton, Fl.
International Workshop on Concentration, Functional Inequalities and Isoperimetry, Satellite of the 2009 AMS Fall Southeast Meeting, October 29-November 1, 2009, FAU, Boca Raton, Fl.
Mini Symposium "Topics in Fractional and Geometric PDE" SIAM Conference on Analysis of Partial Differential Equations International, December 7-9, 2009, MIami, Fl.
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