The multilinear Hörmander multiplier theorem with a Lorentz–Sobolev condition

Autor:	Bae Jun Park, Loukas Grafakos
Rok vydání:	2021
Předmět:	Physics Multilinear map Applied Mathematics Lorentz transformation 010102 general mathematics Mathematics::Analysis of PDEs 01 natural sciences Combinatorics Sobolev space Multiplier (Fourier analysis) symbols.namesake 0103 physical sciences symbols 010307 mathematical physics 0101 mathematics
Zdroj:	Annali di Matematica Pura ed Applicata (1923 -). 201:111-126
ISSN:	1618-1891 0373-3114
DOI:	10.1007/s10231-021-01109-2
Popis:	In this article, we provide a multilinear version of the Hormander multiplier theorem with a Lorentz–Sobolev space condition. The work is motivated by the recent result of the first author and Slavikova [12] where an analogous version of classical Hormander multiplier theorem was obtained; this version is sharp in many ways and reduces the number of indices that appear in the statement of the theorem. As a natural extension of the linear case, in this work, we prove that if $$mn/21$$ .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::527e1bc5e608a129cb99f515b0961609 https://doi.org/10.1007/s10231-021-01109-2 Zobrazit plný text záznamu Full text from SpringerLink