Trace and Density Results on Regular Trees
Abstract
The boundary of a regular tree can be viewed as a Cantor-type set. We equip our tree with a weighted distance and a weighted measure via the Euclidean arc-length and consider the associated first-order Sobolev spaces. We give characterizations for the existence of traces and for the density of compactly supported functions.
Main Authors
Format
Articles
Research article
Published
2022
Series
Subjects
Publication in research information system
Publisher
Springer
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202103121950Use this for linking
Review status
Peer reviewed
ISSN
0926-2601
DOI
https://doi.org/10.1007/s11118-021-09907-2
Language
English
Published in
Potential Analysis
Citation
- Koskela, P., Nguyen, K. N., & Wang, Z. (2022). Trace and Density Results on Regular Trees. Potential Analysis, 57(1), 101-128. https://doi.org/10.1007/s11118-021-09907-2
License
Additional information about funding
Open access funding provided by University of Jyväskylä (JYU).
Copyright© The Author(s) 2021