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

Yanqi Yang; Qi Wu; Yanqi Yang; Qi Wu

doi:10.3934/math.20231310

AIMS Mathematics

2023, Volume 8, Issue 11: 25688-25713. doi: 10.3934/math.20231310

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Research article

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

Yanqi Yang ^{1,2
,
,},
Qi Wu ¹

1.
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
2.
Hubei Key Laboratory of Applied Mathematics (Hubei University), Wuhan 430062, China

Received: 15 June 2023 Revised: 14 August 2023 Accepted: 21 August 2023 Published: 05 September 2023
MSC : 42B20, 42B25, 42B35

The main purpose of this paper is to establish the weighted boundedness result of vector valued bilinear $ \varpi(t) $-type Calderón-Zygmund operators in variable exponents Herz-Morrey spaces, where $ \varpi $ being nondecreasing and $ \varpi\in \rm{Dini}(1) $.
- vector valued,
- $ \varpi(t) $-type Calderón-Zygmund operator,
- Herz-Morrey space,
- variable exponent
Citation: Yanqi Yang, Qi Wu. Vector valued bilinear Calderón-Zygmund operators with kernels of Dini's type in variable exponents Herz-Morrey spaces[J]. AIMS Mathematics, 2023, 8(11): 25688-25713. doi: 10.3934/math.20231310

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Abstract

The main purpose of this paper is to establish the weighted boundedness result of vector valued bilinear $ \varpi(t) $-type Calderón-Zygmund operators in variable exponents Herz-Morrey spaces, where $ \varpi $ being nondecreasing and $ \varpi\in \rm{Dini}(1) $.

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