Bilinear Fourier Multipliers of Bounded Variation

被引：0

作者：

Baena-Miret, Sergi

Carro, Maria J.

Luque, Teresa ^{[1
]}

Sanchez-Pascuala, Laura

机构：

[1] Univ Complutense Madrid, Dept Anal Matemat, Madrid 28040, Spain

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 24期

关键词：

WEIGHTED NORM INEQUALITIES; SINGULAR-INTEGRALS; LORENTZ SPACES; WEAK-TYPE; EXTRAPOLATION; FACTORIZATION; OPERATORS; TERMS;

D O I：

10.1093/imrn/rnac339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain weighted estimates for bilinear Fourier multipliers of bounded variation that provide new restricted weak-type bounds. We also study their boundedness on the setting of the weighted Lorentz spaces. The results are obtained using Rubio de Francia extrapolation as the main tool.

引用

页码：21943 / 21975

页数：33

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