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

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

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-Royd...

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Bibliographic Details
Main Authors: Lucia Marcello, Puls Michael J.
Format: Article
Language:English
Published: De Gruyter 2015-06-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
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
Online Access:https://doi.org/10.1515/agms-2015-0008

Internet

https://doi.org/10.1515/agms-2015-0008

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