9 citations · 76 across the 31 of their papers we have counts for
4 papers · 1 filter
A family of Hardy type spaces on nondoubling manifolds
Alessio Martini, Stefano Meda, Maria Vallarino
We introduce a decreasing one-parameter family , , of Banach subspaces of the Hardy-Goldberg space on certain nondoubling Riemannian man…
Potential spaces on Lie groups
Tommaso Bruno, Marco M. Peloso, Maria Vallarino
In this paper we discuss function spaces on a general noncompact Lie group, namely the scales of Triebel--Lizorkin and Besov spaces, defined in terms of a sub-Laplacian with drift.…
Besov and Triebel--Lizorkin spaces on Lie groups
Tommaso Bruno, Marco M. Peloso, Maria Vallarino
In this paper we develop a theory of Besov and Triebel--Lizorkin spaces on general noncompact Lie groups endowed with a sub-Riemannian structure. Such spaces are defined by means o…
Hardy spaces on weighted homogeneous trees
Laura Arditti, Anita Tabacco, Maria Vallarino
We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a weighted measure μ. The metric measure space V,d,μ) is nondoubling and of exponen…