OSCILLATION AND DIMENSIONS OF HARMONIC FUNCTIONS ON THE SIERPIŃSKI GASKETS
In this paper, we estimate the oscillation of harmonic functions on the [Formula: see text]-dimensional Sierpiński gasket [Formula: see text], where [Formula: see text] is the classical Sierpiński gasket. By using this result, we prove that both the box dimension and the Hausdorff dimension of graphs of harmonic functions on [Formula: see text] are [Formula: see text].
Authors
- Huo-Jun Ruan (ORCID: https://orcid.org/0000-0003-3483-2932)
- Zhen Liang (ORCID: https://orcid.org/0000-0003-1232-3379)
Institutions
- Nanjing Audit University (CN)
- Zhejiang University (CN)
Publication Details
- Journal
- Fractals
- Published
- 2024-09-19
- DOI
- https://doi.org/10.1142/s0218348x24501342
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00