Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces

Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces

We consider one-sided weight classes of Muckenhoupt type, but larger than the classical Muckenhoupt classes, and study the boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces using interpolation of operators with change of measures.

Bibliographic Details
Main Authors: Zunwei Fu, Shanzhen Lu, Yibiao Pan, Shaoguang Shi
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/291397
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spelling doaj-7150136ad1de4175bd320448681565162020-11-24T20:57:59ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/291397291397Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue SpacesZunwei Fu0Shanzhen Lu1Yibiao Pan2Shaoguang Shi3Department of Mathematics, Linyi University, Linyi 276005, ChinaSchool of Mathematical Sciences, Beijing Normal University, Beijing 100875, ChinaDepartment of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USADepartment of Mathematics, Linyi University, Linyi 276005, ChinaWe consider one-sided weight classes of Muckenhoupt type, but larger than the classical Muckenhoupt classes, and study the boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces using interpolation of operators with change of measures.http://dx.doi.org/10.1155/2014/291397
collection DOAJ
language English
format Article
sources DOAJ
author Zunwei Fu
Shanzhen Lu
Yibiao Pan
Shaoguang Shi
spellingShingle Zunwei Fu
Shanzhen Lu
Yibiao Pan
Shaoguang Shi
Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces
Abstract and Applied Analysis
author_facet Zunwei Fu
Shanzhen Lu
Yibiao Pan
Shaoguang Shi
author_sort Zunwei Fu
title Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces
title_short Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces
title_full Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces
title_fullStr Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces
title_full_unstemmed Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces
title_sort boundedness of one-sided oscillatory integral operators on weighted lebesgue spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We consider one-sided weight classes of Muckenhoupt type, but larger than the classical Muckenhoupt classes, and study the boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces using interpolation of operators with change of measures.
url http://dx.doi.org/10.1155/2014/291397
work_keys_str_mv AT zunweifu boundednessofonesidedoscillatoryintegraloperatorsonweightedlebesguespaces
AT shanzhenlu boundednessofonesidedoscillatoryintegraloperatorsonweightedlebesguespaces
AT yibiaopan boundednessofonesidedoscillatoryintegraloperatorsonweightedlebesguespaces
AT shaoguangshi boundednessofonesidedoscillatoryintegraloperatorsonweightedlebesguespaces
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