The p-Royden and p-Harmonic Boundaries for Metric Measure Spaces

Autor:	Lucia Marcello, Puls Michael J.
Jazyk:	angličtina
Rok vydání:	2015
Předmět:	dirichlet problem at infinity metric measure space p-harmonic function p-parabolic p-royden algebra p-weak upper gradient (p p)-sobolev inequality primary: 31b20 secondary: 31c25 54e45 Analysis QA299.6-433
Zdroj:	Analysis and Geometry in Metric Spaces, Vol 3, Iss 1 (2015)
Druh dokumentu:	article
ISSN:	2299-3274 2015-0008
DOI:	10.1515/agms-2015-0008
Popis:	Let p be a real number greater than one and let X be a locally compact, noncompact metric measure space that satisfies certain conditions. The p-Royden and p-harmonic boundaries of X are constructed by using the p-Royden algebra of functions on X and a Dirichlet type problem is solved for the p-Royden boundary. We also characterize the metric measure spaces whose p-harmonic boundary is empty.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/df56f395cc0b4596af54bcbf739b3773 Zobrazit plný text záznamu View record in DOAJ