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



Publication year2021


Issue number2

Article number125329


Publication countryUnited States

Publication languageEnglish


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


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

Contributing organizations

Related projects

Ministry reportingYes

Reporting Year2021

JUFO rating1

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