The Oscillation Inequality of Harmonic Functions on Post Critically Finite Self-Similar Sets

Authors

  • D. L. Tang & R. Hu

DOI:

https://doi.org/10.4208/ata.2017.v33.n2.5

Keywords:

p.c.f. Self-similar sets, oscillation inequality, Hölder estimate, harmonic functions.

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.

Downloads

Published

2017-05-02

Abstract View

  • 42270

Pdf View

  • 3949

Issue

Vol. 33 No. 2 (2017)

Section

Articles

How to Cite

The Oscillation Inequality of Harmonic Functions on Post Critically Finite Self-Similar Sets. (2017). Analysis in Theory and Applications, 33(2), 149-156. https://doi.org/10.4208/ata.2017.v33.n2.5
Crossref
Scopus
Google Scholar
Europe PMC