A1 Journal article (refereed)
A density result on Orlicz-Sobolev spaces in the plane (2021)


Ortiz, W. A., & Rajala, T. (2021). A density result on Orlicz-Sobolev spaces in the plane. Journal of Mathematical Analysis and Applications, 503(2), Article 125329. https://doi.org/10.1016/j.jmaa.2021.125329


JYU authors or editors


Publication details

All authors or editorsOrtiz, Walter A.; Rajala, Tapio

Journal or seriesJournal of Mathematical Analysis and Applications

ISSN0022-247X

eISSN1096-0813

Publication year2021

Volume503

Issue number2

Article number125329

PublisherElsevier

Publication countryUnited States

Publication languageEnglish

DOIhttps://doi.org/10.1016/j.jmaa.2021.125329

Publication open accessOpenly available

Publication channel open accessPartially open access channel

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/75769

Web address of parallel published publication (pre-print)https://arxiv.org/abs/1807.05349


Abstract

We show the density of smooth Sobolev functions Wk,∞(Ω)∩C∞(Ω) in the Orlicz-Sobolev spaces Lk,Ψ(Ω) for bounded simply connected planar domains Ω and doubling Young functions Ψ.


Keywordsfunctional analysis

Free keywordsSobolev space; Orlicz-Sobolev space; density


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Ministry reportingYes

Reporting Year2021

JUFO rating1


Last updated on 2024-03-04 at 20:16