Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces

Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces

The aim of this paper is to get the boundedness of a class of sublinear operators with rough kernels on weighted Morrey spaces under generic size conditions, which are satisfied by most of the operators in classical harmonic analysis. Applications to the corresponding commutators formed by certain o...

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Main Authors: Shaoguang Shi, Zunwei Fu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/784983
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spelling doaj-f16cc7c358384f5185a3e7afaf0d28c62020-11-24T23:29:03ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/784983784983Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey SpacesShaoguang Shi0Zunwei Fu1Department of Mathematics, Linyi University, Linyi 276005, ChinaDepartment of Mathematics, Linyi University, Linyi 276005, ChinaThe aim of this paper is to get the boundedness of a class of sublinear operators with rough kernels on weighted Morrey spaces under generic size conditions, which are satisfied by most of the operators in classical harmonic analysis. Applications to the corresponding commutators formed by certain operators and BMO functions are also obtained.http://dx.doi.org/10.1155/2013/784983
collection DOAJ
language English
format Article
sources DOAJ
author Shaoguang Shi
Zunwei Fu
spellingShingle Shaoguang Shi
Zunwei Fu
Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces
Journal of Function Spaces and Applications
author_facet Shaoguang Shi
Zunwei Fu
author_sort Shaoguang Shi
title Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces
title_short Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces
title_full Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces
title_fullStr Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces
title_full_unstemmed Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces
title_sort boundedness of sublinear operators with rough kernels on weighted morrey spaces
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2013-01-01
description The aim of this paper is to get the boundedness of a class of sublinear operators with rough kernels on weighted Morrey spaces under generic size conditions, which are satisfied by most of the operators in classical harmonic analysis. Applications to the corresponding commutators formed by certain operators and BMO functions are also obtained.
url http://dx.doi.org/10.1155/2013/784983
work_keys_str_mv AT shaoguangshi boundednessofsublinearoperatorswithroughkernelsonweightedmorreyspaces
AT zunweifu boundednessofsublinearoperatorswithroughkernelsonweightedmorreyspaces
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