9 citations · 76 across the 31 of their papers we have counts for
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The wave equation on Damek-Ricci spaces
Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino
We study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on Damek-Ricci spaces, and deduce Strichartz estimates for a large fam…
Schrödinger equation on Damek-Ricci spaces
Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino
In this paper we consider the Laplace-Beltrami operator Δon Damek-Ricci spaces and derive pointwise estimates for the kernel of exp(τΔ), when τ\in C* with Re(τ) \geq 0. When τ\in i…
The wave equation on hyperbolic spaces
Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino
In this paper, we study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on real hyperbolic spaces, and deduce Strichartz estima…
Equivalent Characterizations for Boundedness of Maximal Singular Integrals on \,--Groups
Liguang Liu, Maria Vallarino, Dachun Yang
Let be the affine group endowed with the left-invariant Riemannian metric and the right Haar measure , which is of exponentia…
Dyadic Sets, Maximal Functions and Applications on --Groups
Liguang Liu, Maria Vallarino, Dachun Yang
Let be the Lie group endowed with the left-invariant Riemannian symmetric space structure and the right Haar measure , which is a Lie grou…
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…