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Traces of Orlicz‐Sobolev functions under general growth restrictions
Author(s) -
Kałamajska Agnieszka,
Krbec Miroslav
Publication year - 2013
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201100185
Subject(s) - mathematics , sobolev space , trace (psycholinguistics) , pure mathematics , birnbaum–orlicz space , function (biology) , function space , operator (biology) , interpolation space , mathematical analysis , functional analysis , philosophy , linguistics , biochemistry , chemistry , repressor , evolutionary biology , biology , transcription factor , gene
We prove an estimate for the trace operator in spaces whose weak derivatives are in Orlicz spaces without constraints upon the growth of the generating Young function. This extends the known trace theorems established in Orlicz‐Sobolev spaces, where the complementary Young function had to fulfill the Δ 2 ‐condition.