Abstract

AbstractWe consider twisted convolution operators with kernels having singularities on a sphere and having as Fourier transform the oscillatory symbol mα(|ξ|) = |ξ|–αei|ξ|, 0 ≤ ℜ︁α < 2n. We give integral representations for such operators and, as a principal result, we study Lp–Lq estimates for them.

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