Riesz potentials and p -superharmonic functions in Lie groups of Heisenberg type

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 04 Dec 2011Embargo end date: 01 May 2010 Italy English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 44, pages 353-366 (issn: 0024-6093,

Copyright policy )Funded by:NSF | Geometric analysis in Car...

Authors: GAROFALO, NICOLA; J. T. Tyson;

doi: 10.1112/blms/bdr102 , 10.48550/arxiv.1005.4090

arXiv: 1005.4090

handle: 11577/2666256

Riesz potentials and p -superharmonic functions in Lie groups of Heisenberg type

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Abstract

We prove a superposition principle for Riesz potentials of nonnegative continuous functions on Lie groups of Heisenberg type. More precisely, we show that the Riesz potential $$ R_α(ρ)(g) = \int_{\G} N(g^{-1} g')^{α-Q} ρ(g') dg', \qquad 0

Country

Italy

Related Organizations

University of Illinois at Urbana Champaign
United States
Purdue University System
United States
Purdue University West Lafayette
United States
University of Padua
Italy
University of Illinois at Urbana–Champaign
United States

Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

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