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Convolution operators defined by singular measures on the motion group

Authors
  • Brandolini, Luca
  • Gigante, Giacomo
  • Thangavelu, Sundaram
  • Travaglini, Giancarlo
Type
Preprint
Publication Date
Jan 04, 2010
Submission Date
Jan 04, 2010
Identifiers
arXiv ID: 1001.0560
Source
arXiv
License
Yellow
External links

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 surfaces, and it extends earlier results on Radon type transforms on $\mathbb{R}^{n}$. The proof relies on the harmonic analysis on the motion group.

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