变指标中心Morrey空间上带Dini核的多线性C-Z算子

马腾

doi:10.13371/j.cnki.chin.q.j.m.2023.02.006

数学季刊 >

2023 , Vol. 38 >Issue 2: 184 - 195

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2023.02.006

变指标中心Morrey空间上带Dini核的多线性C-Z算子

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Department of Mathematics, Xinjiang Institute of Engineering

MA Teng (1995-), male, native of Urumqi, Xinjiang, lecturer of Xinjiang Institute of Engineering, engages in harmonic analysis.

收稿日期: 2021-12-07

网络出版日期: 2023-06-30

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Multilinear Calderón-Zygmund Operators with Kernels of#br# Dini Type and Commutators in Variable Exponent#br# Central Morrey Spaces

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Department of Mathematics, Xinjiang Institute of Engineering

MA Teng (1995-), male, native of Urumqi, Xinjiang, lecturer of Xinjiang Institute of Engineering, engages in harmonic analysis.

Received date: 2021-12-07

Online published: 2023-06-30

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摘要

In this paper, we obtain the boundedness of multilinear Calder´ on-Zygmund operators with kernels of Dini type and commutators with variable exponent λ -central BMO functions in variable exponent central Morrey spaces.

关键词： Multilinear Calderón-Zygmund operators; Variable exponent; Central Morrey spaces; BMO

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马腾 . 变指标中心Morrey空间上带Dini核的多线性C-Z算子[J]. 数学季刊, 2023 , 38(2) : 184 -195 . DOI: 10.13371/j.cnki.chin.q.j.m.2023.02.006

Abstract

Key words： Multilinear Calderón-Zygmund operators; Variable exponent; Central Morrey spaces; BMO

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