Affiliation:
1. Department of Mathematics, University of Missouri, Columbia MO 65211, USA
Abstract
Abstract
We provide an improvement of the Hörmander 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 $L^{n/s,1}(\mathbb R^{n})$.
Funder
University of Missouri Research Board
Simons Foundation
Publisher
Oxford University Press (OUP)
Cited by
17 articles.
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