Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees

被引:9
|
作者
Koskela, Pekka [1 ]
Wang, Zhuang [1 ]
机构
[1] Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland
关键词
Besov-type space; Regular tree; Trace space; Dyadic norm;
D O I
10.1007/s11118-019-09808-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study function spaces defined via dyadic energies on the boundaries of regular trees. We show that correct choices of dyadic energies result in Besov-type spaces that are trace spaces of (weighted) first order Sobolev spaces.
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页码:1317 / 1346
页数:30
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