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3rd International ISAAC Congress
August 20-25, 2001
Freie Universitaet Berlin
Berlin, Germany

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A boundedness result for twisted convolution,
by
Alexey Karapetyants
Visiting Professorship at the Autonomous University of Mexico, on leave from the Rostov-on-Don State University
Coauthors: E. Ramírez de Arellano

We consider twisted convolution operators with kernels having singularities on a sphere and whose Fourier transform is oscillatory simbol m\alpha(|\xi|) = |\xi|-\alphaei|\xi|, 0 <= \re \alpha < 2n. We give integral representations, and as a main result, we study Lp - Lq boundedness for such operators.

Date received: April 23, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahk-08.