Atomic decomposition of Hardy type spaces on certain noncompact manifolds
Functional Analysis
2010-02-08 v1
Abstract
In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometry and spectral gap. We prove that the Hardy type spaces X^k(M), introduced in a previous paper of the authors, have an atomic characterization. As an application, we prove that the Riesz transforms of even order 2k are bounded from X^k(M) to L^1(M)and on L^p(M) for 1<p<\infty.
Keywords
Cite
@article{arxiv.1002.1161,
title = {Atomic decomposition of Hardy type spaces on certain noncompact manifolds},
author = {G. Mauceri and S. Meda and M. Vallarino},
journal= {arXiv preprint arXiv:1002.1161},
year = {2010}
}
Comments
22 pages