Dirk Hundertmark (Karlsruhe)

Title: Gagliardo Nirenberg and Sobolev Trudinger type bounds for general Fourier multipliers and non-negative operators

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Talk
Venue
Carl-Zeiß-Str. 3, SR 274
07743 Jena
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Speaker
Dirk Hundertmark
Language of the event
English
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Abstract:

We discuss an approach to prove generalized Gagliardo Nirenberg (GN) and Sobolev Trudinger bounds (ST) for Fourier multipliers. These bounds then imply Lieb Thirring bounds and Cwikel Lieb Rosenblum type bounds.
We will explain how to get from GN to Lieb-Thirring and ST to Cwikel Lieb Rosenblum.
An interesting feature is that the Lieb Thirring bound is quite general and depends only on what physicists would call the local integrated density of the unperturbed operator.