Boundedness of oscillatory integral operators and their commutators on weighted Morrey spaces

2011/11/22 by Fu, Zunwei, Shi, Shaoguang, Lu, Shanzhen
#42B20 (Primary) 42B25 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1111.5109

Abstract

It is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on weighted Morrey spaces. The corresponding commutators generated by BMO functions are also considered.

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