Functional inequalities in Sobolev spaces: From isocapacitary estimates to Littlewood-Paley theory

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• Ali Taheri, University of Sussex
• Monday 16 February 2015, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Amit Einav.

I begin the talk by giving a brief survey on the various geometric and Sobolev-type inequalities and the role of entropy monotonicity and isocapacitary estimates in establishing these inequalities. I will then move on to presenting some ongoing work on the use of isocapacitary estimates and Littlewood-Paley g-functions in establishing functional inequalities and finally describe some connections with Beurling-Ahlfors operator and quasiconvexity in the plane.

This talk is part of the Partial Differential Equations seminar series.

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