Weighted estimates of certain variable kernel operators on generalized Morrey spaces with variable exponent

被引：0

作者：

Yang, Yanqi ^{[1
,2
]}

Wu, Qi ^{[1
]}

Tao, Shuangping ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China

[2] Hubei Univ, Hubei Key Lab Appl Math, Wuhan 430062, Hubei, Peoples R China

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 197卷

关键词：

Singular integral; Variable kernel; Fractional differentiation; Generalized weighted Morrey space; Variable exponent; SINGULAR INTEGRAL-OPERATORS; EQUATIONS;

D O I：

10.1016/j.bulsci.2024.103516

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T be the singular integral operator with variable kernel and D-gamma(0 <= gamma <= 1) be the fractional differentiation operator. Simultaneously, let T* and T-# be the adjoint and pseudo-adjoint of T, T1T2 and T-1 degrees T-2 be the product and pseudo-product of T-1 and T-2 respectively. In this article, we show that, TD gamma-(DT)-T-gamma, (T*-T-#)D-gamma and (T-1 circle T-2-T1T2)D-gamma on the variable exponent generalized weighted Morrey spaces are bounded. (c) 2024 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：19

共 18 条

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