Mean Value Property of Harmonic Functions on the Tetrahedral Sierpinski Gasket

被引：9

作者：

Qiu, Hua ^{[1
]}

Wu, Yipeng ^{[2
]}

Yao, Kui ^{[2
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] PLA Univ Sci & Technol, Inst Sci, Nanjing 211101, Jiangsu, Peoples R China

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2019年 / 25卷 / 03期

基金：

美国国家科学基金会;

关键词：

Mean value property; Tetrahedral Sierpinski gasket; Harmonic functions; Laplacian; Self-similar sets;

D O I：

10.1007/s00041-018-9611-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the mean value property for both the harmonic functions and the functions in the domain of the Laplacian on the tetrahedral Sierpinski gasket. This paper is a continuation of the work of Strichartz and the first author (Qiu and Strichartz, J Fourier Anal Appl 19:943-966, 2013)where the same property on p.c.f. self-similar sets with Dihedral-3 symmetry was considered.

引用

页码：785 / 803

页数：19

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