Boundedness for Commutators of Singular Integral Operator With Weaker Smooth Kernel on Weighted Hardy and Herz Spaces

In this job, let T be a variant of Hörmander’s singular operator and b∈Lipβ,ωℝn. We adopt the classic Harmonic analysis method and obtain that commutators are bounded on weighted Hardy space and weighted Herz space.

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Main Authors: Jiamei Chen, Jie Sun
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2024/5596054
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author Jiamei Chen
Jie Sun
author_facet Jiamei Chen
Jie Sun
author_sort Jiamei Chen
collection DOAJ
description In this job, let T be a variant of Hörmander’s singular operator and b∈Lipβ,ωℝn. We adopt the classic Harmonic analysis method and obtain that commutators are bounded on weighted Hardy space and weighted Herz space.
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issn 2314-8888
language English
publishDate 2024-01-01
publisher Wiley
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spelling doaj-art-3b68712d1e6c47df85a7eaf3641aebf72025-08-20T02:39:07ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/5596054Boundedness for Commutators of Singular Integral Operator With Weaker Smooth Kernel on Weighted Hardy and Herz SpacesJiamei Chen0Jie Sun1Department of MathematicsDepartment of MathematicsIn this job, let T be a variant of Hörmander’s singular operator and b∈Lipβ,ωℝn. We adopt the classic Harmonic analysis method and obtain that commutators are bounded on weighted Hardy space and weighted Herz space.http://dx.doi.org/10.1155/2024/5596054
spellingShingle Jiamei Chen
Jie Sun
Boundedness for Commutators of Singular Integral Operator With Weaker Smooth Kernel on Weighted Hardy and Herz Spaces
Journal of Function Spaces
title Boundedness for Commutators of Singular Integral Operator With Weaker Smooth Kernel on Weighted Hardy and Herz Spaces
title_full Boundedness for Commutators of Singular Integral Operator With Weaker Smooth Kernel on Weighted Hardy and Herz Spaces
title_fullStr Boundedness for Commutators of Singular Integral Operator With Weaker Smooth Kernel on Weighted Hardy and Herz Spaces
title_full_unstemmed Boundedness for Commutators of Singular Integral Operator With Weaker Smooth Kernel on Weighted Hardy and Herz Spaces
title_short Boundedness for Commutators of Singular Integral Operator With Weaker Smooth Kernel on Weighted Hardy and Herz Spaces
title_sort boundedness for commutators of singular integral operator with weaker smooth kernel on weighted hardy and herz spaces
url http://dx.doi.org/10.1155/2024/5596054
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AT jiesun boundednessforcommutatorsofsingularintegraloperatorwithweakersmoothkernelonweightedhardyandherzspaces