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.

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Bibliographic Details
Published in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.607-613-367
Main Authors: Shi, Shaoguang, Pan, Y., Lu, Shan Zhen, Fu, Zun Wei
Format: Article
Language:English
Subjects:
Fourier transforms
Harmonic analysis
Integrals
Interpolation
Mathematical functions
Mathematical research
Mathematics
Operator theory
Operators
Partial differential equations
Vector spaces
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Description
Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/291397