Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees
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.
Main Authors
Format
Articles
Research article
Published
2020
Series
Subjects
Publication in research information system
Publisher
Springer
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202010076121Use this for linking
Review status
Peer reviewed
ISSN
0926-2601
DOI
https://doi.org/10.1007/s11118-019-09808-5
Language
English
Published in
Potential Analysis
Citation
- Koskela, P., & Wang, Z. (2020). Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees. Potential Analysis, 53(4), 1317-1346. https://doi.org/10.1007/s11118-019-09808-5
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Funder(s)
Research Council of Finland
Funding program(s)
Centre of Excellence, AoF
Huippuyksikkörahoitus, SA
Additional information about funding
Authors have been supported by the Academy of Finland via Centre of Excellence in Analysis and Dynamics Research (project No. 307333).
Copyright© The Author(s) 2019