Volume 33, Issue 2
The Oscillation Inequality of Harmonic Functions on Post Critically Finite Self-Similar Sets

D. L. Tang and R. Hu

10.4208/ata.2017.v33.n2.5

Anal. Theory Appl., 33 (2017), pp. 149-156

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  • Abstract

In this paper we establish the oscillation inequalityof harmonic functions and Holder estimate of thefunctions in the domain of the Laplacian onconnected post critically finite (p.c.f.) self-similar sets.

  • History

Published online: 2017-05

  • AMS Subject Headings

28A80

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