A sharp version of the Hörmander multiplier theorem

Published 20 Jun 2017 in math.CA | (1706.06507v1)

Abstract: 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 $L^{{n/s,1}(\mathbb} R^n)$.

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