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

Rajala, Tapio

Publication details

All authors or editors: Ortiz, Walter A.; Rajala, Tapio

Journal or series: Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

eISSN: 1096-0813

Publication year: 2021

Volume: 503

Issue number: 2

Article number: 125329

Publisher: Elsevier

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1016/j.jmaa.2021.125329

Publication open access: Openly available

Publication channel open access: Partially 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.

Keywords: functional analysis

Free keywords: Sobolev space; Orlicz-Sobolev space; density

Fields of science: