Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators

Ming Liu; Bin Zhang; Xiaobin Yao; Ming Liu; Bin Zhang; Xiaobin Yao

doi:10.3934/math.20231022

AIMS Mathematics

2023, Volume 8, Issue 9: 20063-20079. doi: 10.3934/math.20231022

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Research article

Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators

School of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, China

Received: 21 April 2023 Revised: 01 June 2023 Accepted: 08 June 2023 Published: 16 June 2023
MSC : 42B35, 26D10, 47B47, 47G10

In this paper, we establish the boundedness for $ m $th order commutators of $ n- $dimensional fractional Hardy operators and adjoint operators on weighted variable exponent Morrey-Herz space $ \mathrm{M\dot{K}}_{q, p(\cdot)}^{\alpha(\cdot), \lambda}(\omega) $.
- Morrey-Herz space,
- commutators,
- fractional Hardy operators,
- variable exponent function space,
- weights
Citation: Ming Liu, Bin Zhang, Xiaobin Yao. Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators[J]. AIMS Mathematics, 2023, 8(9): 20063-20079. doi: 10.3934/math.20231022

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Abstract

In this paper, we establish the boundedness for $ m $th order commutators of $ n- $dimensional fractional Hardy operators and adjoint operators on weighted variable exponent Morrey-Herz space $ \mathrm{M\dot{K}}_{q, p(\cdot)}^{\alpha(\cdot), \lambda}(\omega) $.

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