Self-improvement of uniform fatness revisited

被引:0
作者
Juha Lehrbäck
Heli Tuominen
Antti V. Vähäkangas
机构
[1] University of Jyvaskyla,Department of Mathematics and Statistics
来源
Mathematische Annalen | 2017年 / 368卷
关键词
Primary 31C15; Secondary 31E05; 35A23;
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学科分类号
摘要
We give a new proof for the self-improvement of uniform p-fatness in the setting of general metric spaces. Our proof is based on rather standard methods of geometric analysis, and in particular the proof avoids the use of deep results from potential theory and analysis on metric spaces that have been indispensable in the previous proofs of the self-improvement. A key ingredient in the proof is a self-improvement property for local Hardy inequalities.
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页码:1439 / 1464
页数:25
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