Open AccessWeighted norm inequalities for multilinear Fourier multipliers with critical Besov regularity
Author(s) -
Mai Fujita,
Naohide Tomita
Publication year - 2017
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/13680
Subject(s) - multilinear map , multiplier (economics) , mathematics , norm (philosophy) , fourier transform , limiting , pure mathematics , mathematical analysis , economics , mechanical engineering , political science , law , macroeconomics , engineering
In this paper, weighted norm inequalities for multilinear Fourier multipliers with Besov regularity are discussed. As a result, we obtain a limiting case of Hörmander type multiplier theorem for multilinear operators.