Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415067 | Journal of Functional Analysis | 2016 | 38 Pages |
Abstract
In this paper we present a method for determining whether there exists a largest Orlicz space LA(Ω) satisfying the Sobolev embeddingWmLA(Ω)âªY(Ω) where Y(Ω) stands for an arbitrary so-called Marcinkiewicz endpoint space. The tool developed in this work enables us to investigate the optimality of Orlicz domain spaces in Sobolev embeddings and also in Sobolev trace embeddings on domains Ω in Rn with various regularity.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
VÃt Musil,