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arxiv: 1111.5109 · v1 · pith:FTWCKOTInew · submitted 2011-11-22 · 🧮 math.FA

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

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keywords integraloperatorsoscillatorycommutatorsmorreyspacesweightedbounded
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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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