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

来源：

POTENTIAL ANALYSIS | 2020年 / 53卷 / 04期

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.

引用

页码：1317 / 1346

页数：30

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