A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Extension in generalized Orlicz-Sobolev spaces
Tekijät: Juusti Jonne
Kustantaja: ACADEMIC PRESS INC ELSEVIER SCIENCE
Julkaisuvuosi: 2023
Journal: Journal of Mathematical Analysis and Applications
Tietokannassa oleva lehden nimi: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Lehden akronyymi: J MATH ANAL APPL
Artikkelin numero: 126941
Vuosikerta: 522
Numero: 1
Sivujen määrä: 12
ISSN: 0022-247X
DOI: https://doi.org/10.1016/j.jmaa.2022.126941
Verkko-osoite: https://doi.org/10.1016/j.jmaa.2022.126941
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/178739190
We study the existence of an extension operator Lambda: W1,phi(S2) -> W1,psi(Rn). We assume that cp is an element of Phi w(S2) has generalized Orlicz growth, 0 is an element of Phi w(Rn) is an extension of cp, and that S2 subset of Rn is an (e, 5)-domain. Special cases include the classical constant exponent case, the Orlicz case, the variable exponent case, and the double phase case.
(c) 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Ladattava julkaisu This is an electronic reprint of the original article. |