@Article{ATA-30-296,
author = {D. L. Tang, R. Hu and C. W. Pan},
title = {Hölder Estimate of Harmonic Functions on a Class of p.c.f. Self-Similar Sets},
journal = {Analysis in Theory and Applications},
year = {2014},
volume = {30},
number = {3},
pages = {296--305},
abstract = {<p style="text-align: justify;">In this paper we establish sharp Hölder estimates of harmonic functions on a class of connected post critically finite (p.c.f.) self-similar sets, and show that functions in the domain of Laplacian enjoy the same property. Some well-known examples, such as the Sierpinski gasket, the unit interval, the level $3$ Sierpinski gasket, the hexagasket, the $3$-dimensional Sierpinski gasket, and the Vicsek set are also considered.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2014.v30.n3.6},
url = {http://global-sci.org/intro/article_detail/ata/4494.html}
}