L^p-summability of Riesz means for the sublaplacian on complex spheres
Functional Analysis
2014-02-26 v1
Abstract
In this paper we study the L^p-convergence of the Riesz means for the sublaplacian on the sphere S^{2n-1} in the complex n-dimensional space C^n. We show that the Riesz means of order delta of a function f converge to f in L^p(S^{2n-1}) when delta>delta(p):=(2n-1)|1\2-1\p|. The index delta(p) improves the one found by Alexopoulos and Lohoue', , and it coincides with the one found by Mauceri and, with different methods, by Mueller in the case of sublaplacian on the Heisenberg group.
Cite
@article{arxiv.0811.3087,
title = {L^p-summability of Riesz means for the sublaplacian on complex spheres},
author = {Valentina Casarino and Marco M. Peloso},
journal= {arXiv preprint arXiv:0811.3087},
year = {2014}
}
Comments
Rapporto interno Politecnico di Torino, Novembre 2008