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

D. L. Tang & R. Hu

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

Published online: 2017-05

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  • 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.

  • AMS Subject Headings

28A80

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COPYRIGHT: © Global Science Press

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@Article{ATA-33-149, author = {}, title = {The Oscillation Inequality of Harmonic Functions on Post Critically Finite Self-Similar Sets}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {33}, number = {2}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n2.5}, url = {http://global-sci.org/intro/article_detail/ata/10042.html} }
TY - JOUR T1 - The Oscillation Inequality of Harmonic Functions on Post Critically Finite Self-Similar Sets JO - Analysis in Theory and Applications VL - 2 SP - 149 EP - 156 PY - 2017 DA - 2017/05 SN - 33 DO - http://doi.org/10.4208/ata.2017.v33.n2.5 UR - https://global-sci.org/intro/article_detail/ata/10042.html KW - p.c.f. Self-similar sets, oscillation inequality, Hölder estimate, harmonic functions. AB -

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.

D. L. Tang & R. Hu. (1970). The Oscillation Inequality of Harmonic Functions on Post Critically Finite Self-Similar Sets. Analysis in Theory and Applications. 33 (2). 149-156. doi:10.4208/ata.2017.v33.n2.5
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