The p-Royden and p-Harmonic Boundaries for Metric Measure Spaces-Reference-Cited by-同舟云学术

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

Published:2015-06-01 Issue:1 Volume:3 Page:
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:
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Author:

Lucia Marcello,Puls Michael J.

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/agms-2015-0008/pdf

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