A uniform trace theorem for Dirichlet forms on Sierpinski fractals

被引：0

作者：

Cai, Jiejie ^{[1
]}

Qiu, Hua ^{[1
]}

Wang, Yizhou ^{[1
]}

机构：

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

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 286卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Sierpinski gasket; Sierpinski carpet; Trace theorem; Dirichlet form; BROWNIAN-MOTION; UNIQUENESS;

D O I：

10.1016/j.jfa.2024.110367

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish trace theorems for the self-similar Dirichlet forms on the Sierpinski gasket and the Sierpinski carpet to their subsets generated by cutting with a straight line. For the Sierpinski gasket, the straight line can be in any direction. For the Sierpinski carpet, we require the straight line parallel to an edge of the carpet. The trace forms are expressed in term of values of functions along the cut, in a uniform way independent of the choices of the line. (c) 2024 Published by Elsevier Inc.

引用

页数：30

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