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A boundedness result for twisted convolution

✍ Scribed by Alexey Karapetyants; Enrique Ramírez de Arellano

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
210 KB
Volume
250
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We consider twisted convolution operators with kernels having singularities on a sphere and having as Fourier transform the oscillatory symbol m~α~(|ξ|) = |ξ|^–α^e^i|ξ|^, 0 ≤ ℜ︁__α__ < 2__n__. We give integral representations for such operators and, as a principal result, we study L~p~–L~q~ estimates for them.

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