TY - JOUR T1 - Nonconstant Harmonic Functions on the Level 3 Sierpinski Gasket JO - Analysis in Theory and Applications VL - 4 SP - 417 EP - 424 PY - 2014 DA - 2014/11 SN - 30 DO - http://doi.org/10.4208/ata.2014.v30.n4.9 UR - https://global-sci.org/intro/article_detail/ata/4506.html KW - Nonconstant harmonic function, level 3 Sierpinski gasket, $\beta$-set. AB -

We give a detailed description of nonconstant harmonic functions on the level 3 Sierpinski gasket. Then we extend the method on $\beta$-set with $1/3< \beta < 1/2$.