A1 Refereed original research article in a scientific journal

Embeddings into Orlicz Spaces for Functions from Unbounded Irregular Domains



Authors: Harjulehto Petteri, Hurri-Syrjänen Ritva

Publisher: Birkhauser Verlag AG

Publication year: 2019

Journal: Complex Analysis and Operator Theory

Journal name in source: Complex Analysis and Operator Theory

Volume: 13

Issue: 6

First page : 2967

Last page: 2992

Number of pages: 26

ISSN: 1661-8254

eISSN: 1661-8262

DOI: https://doi.org/10.1007/s11785-019-00898-y

Web address : https://link.springer.com/article/10.1007/s11785-019-00898-y

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/39778026


Abstract

We study Sobolev functions defined in unbounded irregular domains in the Euclidean n-space. We show that there exist embeddings into suitable Orlicz spaces from the space Lp1" role="presentation">L1p, 1≤p1≤pL11-functions.


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Last updated on 2024-26-11 at 20:30