A1 Journal article (refereed)
Trace Operators on Regular Trees (2021)

Koskela, P., Nguyen, K. N., & Wang, Z. (2021). Trace Operators on Regular Trees. Analysis and Geometry in Metric Spaces, 8(1), 396-409. https://doi.org/10.1515/agms-2020-0117

JYU authors or editors

Publication details

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

Journal or series: Analysis and Geometry in Metric Spaces

ISSN: 2299-3274

Publication year: 2021

Volume: 8

Issue number: 1

Pages range: 396-409

Publisher: De Gruyter

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.1515/agms-2020-0117

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/73786

Abstract

We consider different notions of boundary traces for functions in Sobolev spaces defined on regular trees and show that the almost everywhere existence of these traces is independent of the chosen definition of a trace.

Keywords: functional analysis; potential theory

Free keywords: Newtonian space; regular tree; trace operator

Contributing organizations

Ministry reporting: Yes

VIRTA submission year: 2021

JUFO rating: 1