A1 Journal article (refereed)
Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees (2020)


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


JYU authors or editors


Publication details

All authors or editorsKoskela, Pekka; Wang, Zhuang

Journal or seriesPotential Analysis

ISSN0926-2601

eISSN1572-929X

Publication year2020

Volume53

Issue number4

Pages range1317-1346

PublisherSpringer

Publication countryNetherlands

Publication languageEnglish

DOIhttps://doi.org/10.1007/s11118-019-09808-5

Publication open accessOpenly available

Publication channel open accessPartially open access channel

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/72065

Web address of parallel published publication (pre-print)https://arxiv.org/abs/1908.06937


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.


Keywordsfunctional analysiscomplex analysispotential theory

Free keywordsBesov-type space; regular tree; trace space; dyadic norm


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Ministry reportingYes

Reporting Year2020

JUFO rating2


Last updated on 2024-03-04 at 21:45