Year: 2017
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 2 : pp. 149–156
Abstract
In this paper we establish the oscillation inequality of harmonic functions and Hölder estimate of the functions in the domain of the Laplacian on connected post critically finite (p.c.f.) self-similar sets.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2017.v33.n2.5
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 2 : pp. 149–156
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: p.c.f. Self-similar sets oscillation inequality Hölder estimate harmonic functions.