A1 Journal article (refereed)
Trace and Density Results on Regular Trees (2022)

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

JYU authors or editors

Publication details

All authors or editors: Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang

Journal or series: Potential Analysis

ISSN: 0926-2601

eISSN: 1572-929X

Publication year: 2022

Publication date: 06/03/2021

Volume: 57

Issue number: 1

Pages range: 101-128

Publisher: Springer

Publication country: Netherlands

Publication language: English

DOI: https://doi.org/10.1007/s11118-021-09907-2

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/74606

Web address of parallel published publication (pre-print): https://arxiv.org/abs/1912.00810

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.

Keywords: functional analysis

Free keywords: regular tree; boundary trace; Newtonian space; density

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2022

JUFO rating: 2