Open AccessWeighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm
Author(s) -
Mai Fujita
Publication year - 2021
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2021/8289155
Subject(s) - mathematics , multilinear map , norm (philosophy) , sobolev space , fourier transform , generalization , pure mathematics , combinatorics , mathematical analysis , political science , law
In this paper, weighted norm inequalities for multilinear Fourier multipliers satisfying Sobolev regularity with mixed norm are discussed. Our result can be understood as a generalization of the result by Fujita and Tomita by using the L r -based Sobolev space, 1 < r ≤ 2 with mixed norm.
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