74 citations · 231 across the 38 of their papers we have counts for
4 papers · 1 filter
Fractional Laplacian, homogeneous Sobolev spaces and their realizations
Alessandro Monguzzi, Marco M. Peloso, Maura Salvatori
We study the fractional Laplacian and the homogeneous Sobolev spaces on R^d , by considering two definitions that are both considered classical. We compare these different definiti…
Some remarks on embeddings in the subelliptic setting
Steven G. Krantz, Marco M. Peloso, Daniel Spector
In this paper we establish an optimal Lorentz estimate for the Riesz potential in the regime in the setting of a stratified group : Let be the homogeneous dimens…
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…