4 citations · 7 across the 6 of their papers we have counts for
6 papers
Estimates for functions of the Laplacian on manifolds with bounded geometry
G. Mauceri, S. Meda, M. Vallarino
In this paper we consider a complete connected noncompact Riemannian manifold M with Ricci curvature bounded from below and positive injectivity radius. Denote by L the Laplace-Bel…
Wave equation and multiplier estimates on Damek-Ricci spaces
Detlef Mueller, Maria Vallarino
Let S be a Damek-Ricci space and L be a distinguished left invariant Laplacian on S. We prove pointwise estimates for the convolution kernels of spectrally localized wave operators…
Spaces H^1 and BMO on ax+b-groups
Maria Vallarino
Let S be the semidirect product of R^d and R^+ endowed with the Riemannian symmetric space metric and the right Haar measure: this is a Lie group of exponential growth. In this pap…
Weak type estimates for spherical multipliers on noncompact symmetric spaces
Stefano Meda, Maria Vallarino
In this paper we prove sharp weak type 1 estimates for spherical Fourier multipliers on symmetric spaces of the noncompact type. This complements earlier results of J.-Ph. Anker an…
On the H^1-L^1 boundedness of operators
S. Meda, P. Sjogren, M. Vallarino
We prove that if q is in (1,\infty), Y is a Banach space and T is a linear operator defined on the space of finite linear combinations of (1,q)-atoms in R^n which is uniformly boun…
Boundedness from H^1 to L^1 of Riesz transforms on a Lie group of exponential growth
Peter Sjögren, Maria Vallarino
Let be the Lie group given by the semidirect product of and endowed with the Riemannian symmetric space structure. Let be a distinguished basis of l…