Harmonic Analysis and Applications

June 4-8, 2018


"A sharp version of the Hoermander multiplier theorem"

Slavikova, Lenka

We provide an improvement of the H\"ormander multiplier theorem in which the Sobolev space $L^r_s(\mathbb R^n)$ with integrability index $r$ and smoothness index $s>n/r$ is replaced by the Sobolev space with smoothness $s$ built upon the Lorentz space $L^{n/s,1}(\mathbb R^n)$. This is a joint work with Loukas Grafakos.

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