Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue Spaces

The authors establish the two-weight norm inequalities for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces. As application, they obtain the two-weight norm inequalities of variable Riemann-Liouville operator and variable Weyl operator in variable Lebesgue spaces on bound...

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Main Authors: Caiyin Niu, Zongguang Liu, Panwang Wang
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/1648281
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author Caiyin Niu
Zongguang Liu
Panwang Wang
author_facet Caiyin Niu
Zongguang Liu
Panwang Wang
author_sort Caiyin Niu
collection DOAJ
description The authors establish the two-weight norm inequalities for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces. As application, they obtain the two-weight norm inequalities of variable Riemann-Liouville operator and variable Weyl operator in variable Lebesgue spaces on bounded intervals.
format Article
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institution Kabale University
issn 2314-8896
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language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-29acfe43d4374dcd92d9d9e97dab48212025-02-03T05:52:08ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/16482811648281Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue SpacesCaiyin Niu0Zongguang Liu1Panwang Wang2School of Science, China University of Mining & Technology, Beijing 100083, ChinaSchool of Science, China University of Mining & Technology, Beijing 100083, ChinaSchool of Science, China University of Mining & Technology, Beijing 100083, ChinaThe authors establish the two-weight norm inequalities for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces. As application, they obtain the two-weight norm inequalities of variable Riemann-Liouville operator and variable Weyl operator in variable Lebesgue spaces on bounded intervals.http://dx.doi.org/10.1155/2016/1648281
spellingShingle Caiyin Niu
Zongguang Liu
Panwang Wang
Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue Spaces
Journal of Function Spaces
title Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue Spaces
title_full Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue Spaces
title_fullStr Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue Spaces
title_full_unstemmed Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue Spaces
title_short Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue Spaces
title_sort two weight norm inequality for the one sided hardy littlewood maximal operators in variable lebesgue spaces
url http://dx.doi.org/10.1155/2016/1648281
work_keys_str_mv AT caiyinniu twoweightnorminequalityfortheonesidedhardylittlewoodmaximaloperatorsinvariablelebesguespaces
AT zongguangliu twoweightnorminequalityfortheonesidedhardylittlewoodmaximaloperatorsinvariablelebesguespaces
AT panwangwang twoweightnorminequalityfortheonesidedhardylittlewoodmaximaloperatorsinvariablelebesguespaces