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

Year of publication

2020

Authors

Koskela, Pekka; Wang, Zhuang

Abstract

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.

Organizations and authors

University of Jyväskylä

Koskela Pekka

Wang Zhuang

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Journal/Series

Potential Analysis

Publisher

Springer

Volume

Issue

Pages

1317-1346

ISSN

0926-2601

Publication forum

65320

Publication forum level

Open access

Open access in the publisher’s service

Yes

Open access of publication channel

Partially open publication channel

Self-archived

Yes

Other information

Fields of science

Mathematics

Keywords

[object Object],[object Object],[object Object]

Publication country

Netherlands

Internationality of the publisher

International

Language

English

International co-publication

Co-publication with a company

DOI

10.1007/s11118-019-09808-5

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes