Box dimension of harmonic functions on higher dimensional Sierpinski gasket and Sierpinski gasket with bilateral energy

被引：0

作者：

Gopalakrishnan, Harsha ^{[1
]}

Prasad, Srijanani Anurag ^{[1
]}

机构：

[1] Indian Inst Technol Tirupati, Dept Math & Stat, Tirupati, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 540卷 / 01期

关键词：

Sierpinski gasket; Higher dimensional Sierpinski gasket; Energy; Bilateral energy; Harmonic functions; Box-counting dimension; HAUSDORFF DIMENSION; WEIERSTRASS; GRAPHS;

D O I：

10.1016/j.jmaa.2024.128590

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concentrates on the bounds of the box-counting dimension of the graph of various fractal functions on the (N-1) dimensional Sierpinski gasket for N >= 3. The bounds of the box-counting dimension of the graph of harmonic functions and functions having finite energy associated with the standard self-similar energy are found. Besides that, the bounds for the graph of harmonic functions and functions having finite energy associated with the bilateral energy on the Sierpinski gasket are also examined. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：13

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