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

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

In this paper we establish the oscillation inequalityof harmonic functions and H(o)lder 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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Veröffentlicht in:Analysis in theory & applications 2017-01, Vol.33 (2), p.149-156
Hauptverfasser: Donglei Tang, Rui Hu
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we establish the oscillation inequalityof harmonic functions and H(o)lder estimate of the functions in the domain of the Laplacian on connected post critically finite (p.c.f.) self-similar sets.
ISSN:1672-4070
1573-8175
DOI:10.4208/ata.2017.v33.n2.5