Weighted Central BMO Spaces and Their Applications

Weighted Central BMO Spaces and Their Applications

In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces. The boundedness of vector-valued commutators on weighted Herz spaces...

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Main Authors: Huan Zhao, Zongguang Liu
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5285962
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spelling doaj-e428f05ebf454818952282478d7dc05a2021-08-16T00:00:30ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5285962Weighted Central BMO Spaces and Their ApplicationsHuan Zhao0Zongguang Liu1Department of MathematicsDepartment of MathematicsIn this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces. The boundedness of vector-valued commutators on weighted Herz spaces is also considered.http://dx.doi.org/10.1155/2021/5285962
collection DOAJ
language English
format Article
sources DOAJ
author Huan Zhao
Zongguang Liu
spellingShingle Huan Zhao
Zongguang Liu
Weighted Central BMO Spaces and Their Applications
Journal of Function Spaces
author_facet Huan Zhao
Zongguang Liu
author_sort Huan Zhao
title Weighted Central BMO Spaces and Their Applications
title_short Weighted Central BMO Spaces and Their Applications
title_full Weighted Central BMO Spaces and Their Applications
title_fullStr Weighted Central BMO Spaces and Their Applications
title_full_unstemmed Weighted Central BMO Spaces and Their Applications
title_sort weighted central bmo spaces and their applications
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces. The boundedness of vector-valued commutators on weighted Herz spaces is also considered.
url http://dx.doi.org/10.1155/2021/5285962
work_keys_str_mv AT huanzhao weightedcentralbmospacesandtheirapplications
AT zongguangliu weightedcentralbmospacesandtheirapplications
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