The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces

The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces

The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the Iida-Sato-Sawano-Tanaka theorem for the Hardy...

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Main Author: Takeshi Iida
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/648251
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spelling doaj-d645ac34daaa4c5fa145a14ba56052e22020-11-24T22:18:15ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/648251648251The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type SpacesTakeshi Iida0Department of General Education, Fukushima National College of Technology, Fukushima 970-8034, JapanThe aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the Iida-Sato-Sawano-Tanaka theorem for the Hardy-Littlewood maximal operator and multilinear maximal function.http://dx.doi.org/10.1155/2014/648251
collection DOAJ
language English
format Article
sources DOAJ
author Takeshi Iida
spellingShingle Takeshi Iida
The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces
Journal of Function Spaces
author_facet Takeshi Iida
author_sort Takeshi Iida
title The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces
title_short The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces
title_full The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces
title_fullStr The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces
title_full_unstemmed The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces
title_sort boundedness of the hardy-littlewood maximal operator and multilinear maximal operator in weighted morrey type spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2014-01-01
description The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the Iida-Sato-Sawano-Tanaka theorem for the Hardy-Littlewood maximal operator and multilinear maximal function.
url http://dx.doi.org/10.1155/2014/648251
work_keys_str_mv AT takeshiiida theboundednessofthehardylittlewoodmaximaloperatorandmultilinearmaximaloperatorinweightedmorreytypespaces
AT takeshiiida boundednessofthehardylittlewoodmaximaloperatorandmultilinearmaximaloperatorinweightedmorreytypespaces
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