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Analysis Seminar

Wednesday, 22 January, 2014

SPEAKER:  Prof. Mike Frazier, UTK

TITLE:  Traces of Function Spaces via Atomic Decompositions

ABSTRACT: For some space X of functions on R^n, we consider when it is possible to define the trace, or restriction, of each element of X to any n-1 dimensional hyperplane, which we identify with R^{n-1}.  If X is a Sobolev space W^{k,p}, with 1<p<infty, the trace of W^{k,p} is a certain Besov space.

The same Besov space is also the trace of another Besov space with higher index.  We consider the trace problem from the standpoint of wavelet-like atomic decompositions coming from Littlewood-Paley theory.  We obtain a geometric explanation of these trace results, including the anomaly that different spaces on R^n have the same trace space.




Ayres Hall
Room 112
1403 Circle Drive
Knoxville, TN 37996

Event Contact

Betty Morgan

Phone: 974-2463

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