THE BOUNDEDNESS OF BILINEAR FOURIER MULTIPLIER OPERATORS IN BESOV SPACES WITH VARIABLE EXPONENTS

被引：1

作者：

Liu, Y. ^{[1
]}

机构：

[1] Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R China

来源：

ACTA MATHEMATICA HUNGARICA | 2021年 / 164卷 / 02期

关键词：

variable exponent; bilinear Fourier multiplier operator; Besov space; BESSEL POTENTIAL SPACES; TRIEBEL-LIZORKIN; HARDY-SPACES; INTEGRAL-OPERATORS; SMOOTHNESS;

D O I：

10.1007/s10474-021-01145-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the Littlewood-Paley decomposition technique, Fourier transform and inverse Fourier transform, the boundedness of bilinear Fourier multiplier operators in Besov spaces with variable smoothness and integrability are proved.

引用

页码：484 / 498

页数：15

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