23 citations · 69 across the 13 of their papers we have counts for
13 papers
Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups
A. R. Mirotin
The aim of this note is to give the boundedness conditions for Hausdorff operators on Hardy spaces with the norm defined via atoms over homogeneous spaces of Lie gr…
Higher order Riesz transforms on noncompact symmetric spaces
G. Mauceri, S. Meda, M. Vallarino
In this note we prove various sharp boundedness results on suitable Hardy type spaces for Riesz transforms of arbitrary order on noncompact symmetric spaces of arbitrary rank.
Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds
G. Mauceri, S. Meda, M. Vallarino
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…
Harmonic Bergman spaces, the Poisson equation and the dual of Hardy-type spaces on certain noncompact manifolds
G. Mauceri, S. Meda, M. Vallarino
In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometry and spectral gap. We realize the dual space Y^h(M) of the Hardy-type space X^h…
Endpoint estimates for first-order Riesz transforms associated to the Ornstein-Uhlenbeck operator
G. Mauceri, S. Meda, P. Sjögren
In the setting of Euclidean space with the Gaussian measure g, we consider all first-order Riesz transforms associated to the infinitesimal generator of the Ornstein-Uhlenbeck semi…
Atomic decomposition of Hardy type spaces on certain noncompact manifolds
G. Mauceri, S. Meda, M. Vallarino
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…