Data di Pubblicazione:
2018
Citazione:
Sobolev spaces on Lie groups : Embedding theorems and algebra properties / T. Bruno, M.M. Peloso, A. Tabacco, M. Vallarino. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - (2018 Nov 30). [Epub ahead of print] [10.1016/j.jfa.2018.11.014]
Abstract:
Let G be a noncompact connected Lie group, denote with ρ a right Haar measure and choose a family of linearly independent left-invariant vector fields X on G satisfying Hörmander's condition. Let χ be a positive character of G and consider the measure μχ whose density with respect to ρ is χ. In this paper, we introduce Sobolev spaces Lα p(μχ) adapted to X and μχ (1
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Sobolev embeddings; Sobolev algebras; Lie groups; Riesz transforms
Elenco autori:
T. Bruno, M.M. Peloso, A. Tabacco, M. Vallarino
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