Skip to main navigation Skip to search Skip to main content

Sobolev versus homogeneous Sobolev extension II

  • Pekka Koskela
  • , Riddhi Mishra*
  • , Zheng Zhu
  • *Corresponding author for this work
  • University of Jyväskylä

Research output: Contribution to journalArticlepeer-review

Abstract

We study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, for a certain range of exponents p and q, we construct a (W1,p,W1,q)-extension domain which is not an (L1,p,L1,q)-extension domain.

Original languageEnglish
JournalJournal of Mathematical Sciences (United States)
DOIs
StateAccepted/In press - 2026

Keywords

  • Homogeneous Sobolev extension domain
  • Sobolev extension domain

Cite this