Embeddings into Orlicz Spaces for Functions from Unbounded Irregular Domains

: Harjulehto Petteri, Hurri-Syrjänen Ritva

Publisher: Birkhauser Verlag AG

: 2019

: Complex Analysis and Operator Theory

: 13

: 6

: 2967

: 2992

: 26

: 1661-8254

: 1661-8262

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

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

: https://research.utu.fi/converis/portal/detail/Publication/39778026

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.

Harjulehto-Hurri-Syrjänen2019_Article_EmbeddingsIntoOrliczSpacesForF.pdf