The Oscillation Inequality of Harmonic Functions on Post Critically Finite Self-Similar Sets
Anal. Theory Appl., 33 (2017), pp. 149-156.
Published online: 2017-05
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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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