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Research Article | Open Access

Vector valued bilinear Calderón-Zygmund operators with kernels of Dini's type in variable exponents Herz-Morrey spaces

Yanqi Yang1,2( ), Qi Wu1
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
Hubei Key Laboratory of Applied Mathematics (Hubei University), Wuhan 430062, China
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Abstract

The main purpose of this paper is to establish the weighted boundedness result of vector valued bilinear ϖ ( t )-type Calderón-Zygmund operators in variable exponents Herz-Morrey spaces, where ϖ being nondecreasing and ϖ ∈ D i n i ( 1 ).

Keywords

vector valuedϖ(t)-type Calderón-Zygmund operatorHerz-Morrey spacevariable exponent
CLC number: 42B20, 42B25, 42B35

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 25688-25713
DOI: 10.3934/math.20231310

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Yang Y, Wu Q. Vector valued bilinear Calderón-Zygmund operators with kernels of Dini's type in variable exponents Herz-Morrey spaces. AIMS Mathematics, 2023, 8(11): 25688-25713. https://doi.org/10.3934/math.20231310

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Received: 15 June 2023
Revised: 14 August 2023
Accepted: 21 August 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)