This paper contains an L^p improving result for convolution operators defined by singular measures associated to hypersurfaces on the motion group. This needs only mild geometric properties of the surface, and it extends earlier results on Radon type transforms on R^n. The proof relies on the harmonic analysis on the motion group
Convolution operators defined by singular measures on the motion group
BRANDOLINI, Luca;GIGANTE, Giacomo;
2010-01-01
Abstract
This paper contains an L^p improving result for convolution operators defined by singular measures associated to hypersurfaces on the motion group. This needs only mild geometric properties of the surface, and it extends earlier results on Radon type transforms on R^n. The proof relies on the harmonic analysis on the motion groupFile allegato/i alla scheda:
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