Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds

Autor:	Mauceri, G., Meda, S., Vallarino, M.
Rok vydání:	2013
Předmět:	Mathematics - Functional Analysis 30H10 42B20 58C99
Druh dokumentu:	Working Paper
Popis:	In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometry and spectral gap. We prove that the imaginary powers of the Laplacian and the Riesz transform are bounded from the Hardy space X^1(M), introduced in previous work of the authors, to L^1(M). Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1305.7109 Zobrazit plný text záznamu View this record from Arxiv