This paper contains an Lp improving result for convolution operators defined by singular measures associated to hypersurfaces on the motion group. This needs only mild geometric properties of the surfaces, and it extends earlier results on Radon type transforms on Rn. 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;
2012-01-01
Abstract
This paper contains an Lp improving result for convolution operators defined by singular measures associated to hypersurfaces on the motion group. This needs only mild geometric properties of the surfaces, and it extends earlier results on Radon type transforms on Rn. The proof relies on the harmonic analysis on the motion group.File allegato/i alla scheda:
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