Embeddings into Orlicz Spaces for Functions from Unbounded Irregular Domains

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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 L-p(1), 1

Original languageEnglish
JournalComplex Analysis and Operator Theory
Volume13
Issue number6
Pages (from-to) 2967–2992
Number of pages26
ISSN1661-8254
DOIs
Publication statusPublished - 26 Sep 2019
MoE publication typeA1 Journal article-refereed

Fields of Science

  • Non-smooth domain
  • Orlicz space
  • Poincare inequality
  • Pointwise estimate
  • Riesz potential
  • Sobolev inequality
  • Unbounded convex domain
  • 111 Mathematics

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