Friday, March 21, 2025 - 09:40 in V2-205
Classical multiplier theorems and their sharp variants
A talk in the Nonlocal Equations: Analysis and Numerics series by
Lenka Slavikova from Prague
| Abstract: |
The question of finding good sufficient conditions on a bounded function
m guaranteeing the $L^p$-boundedness of the associated Fourier multiplier
operator is a long-standing open problem. In this talk, I will recall the
classical multiplier theorems of Hörmander and Marcinkiewicz and present
their sharp variants in which the multiplier belongs to a certain fractional
Lorentz-Sobolev space. The talk is based on a joint work with L. Grafakos
and M. Mastylo.
Within the CRC this talk is associated to the project(s): A7 |
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