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Analysis and PDEs on uniformly rectifiable sets

Introductory Workshop: Harmonic Analysis January 23, 2017 - January 27, 2017

January 24, 2017 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Svitlana Mayboroda (University of Minnesota, Twin Cities)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

Over the past few decades uniformly rectifiability emerged as a natural geometric condition, necessary and sufficient for classical estimates in harmonic analysis, boundedness of singular integrals in L^2, and, in the presence of some background topological assumptions, for suitable scale invariant estimates on harmonic functions closely related to the solvability of the Dirichlet problem. In the first lecture will discuss the state of the art in the case of co-dimension one. The second one will concentrate on the new analogue of harmonic measure, recent results, and many remaining mysteries for sets of higher co-dimension

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27996?type=thumb Mayboroda Notes 314 KB application/pdf Download
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