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

Zunwei Fu; Shanzhen Lu; Yibiao Pan; Shaoguang Shi

doi:10.1155/2014/291397

Abstract and Applied Analysis (Jan 2014)

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

Zunwei Fu,
Shanzhen Lu,
Yibiao Pan,
Shaoguang Shi

Affiliations

Zunwei Fu: Department of Mathematics, Linyi University, Linyi 276005, China
Shanzhen Lu: School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
Yibiao Pan: Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA
Shaoguang Shi: Department of Mathematics, Linyi University, Linyi 276005, China

DOI: https://doi.org/10.1155/2014/291397
Journal volume & issue: Vol. 2014

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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