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

Giancarlo Mauceri, Stefano Meda, and Maria Vallarino. "Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds." Studia Mathematica 224.2 (2014): 153-168. <http://eudml.org/doc/285577>.

@article{GiancarloMauceri2014,
abstract = {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 X¹(M), introduced in previous work of the authors, to L¹(M).},
author = {Giancarlo Mauceri, Stefano Meda, Maria Vallarino},
journal = {Studia Mathematica},
keywords = {Hardy spaces on Riemann manifolds; Laplace transform; Riesz transform},
language = {eng},
number = {2},
pages = {153-168},
title = {Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds},
url = {http://eudml.org/doc/285577},
volume = {224},
year = {2014},
}

TY - JOUR
AU - Giancarlo Mauceri
AU - Stefano Meda
AU - Maria Vallarino
TI - Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds
JO - Studia Mathematica
PY - 2014
VL - 224
IS - 2
SP - 153
EP - 168
AB - 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 X¹(M), introduced in previous work of the authors, to L¹(M).
LA - eng
KW - Hardy spaces on Riemann manifolds; Laplace transform; Riesz transform
UR - http://eudml.org/doc/285577
ER -