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The Besov capacity in metric spaces
被引:10
作者:
Nuutinen, Juho
[1
]
机构:
[1] Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland
基金:
芬兰科学院;
关键词:
Besov spaces;
capacity;
metric spaces;
TRIEBEL-LIZORKIN SPACES;
SOBOLEV SPACES;
EXTENSION;
D O I:
10.4064/ap3843-4-2016
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We study a capacity theory based on a definition of Hajlasz Besov functions. We prove several properties of this capacity in the general setting of a metric space equipped with a doubling measure. The main results of the paper are lower bound and upper bound estimates for the capacity in terms of a modified Netrusov-Hausdorff content. Important tools are gamma-medians, for which we also prove a new version of a Poincare type inequality.
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页码:59 / 78
页数:20
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