THE BOUNDEDNESS OF BILINEAR PSEUDODIFFERENTIAL OPERATORS IN TRIEBEL-LIZORKIN AND BESOV SPACES WITH VARIABLE EXPONENTS

被引：0
作者：
Liu, Yin [1 ]
Wang, Lushun [2 ]
机构：
[1] Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Bilinear pseudodifferential operators; variable exponent; Besov spaces; Triebel-Lizorkin spaces; HARDY-SPACES; HORMANDER CLASSES; LEBESGUE; SYMBOLS;
D O I：
10.4134/BKMS.b230224
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using the Fourier transform, inverse Fourier transform and Littlewood-Paley decomposition technique, we prove the boundedness of bilinear pseudodifferential operators with symbols in the bilinear Hormander class BSm1,1 in variable Triebel-Lizorkin spaces and variable Besov spaces.
引用
收藏
页码：529 / 540
页数：12
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