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Convergent Extensions of Grid‐Functions
Author(s) -
Kornhuber R.
Publication year - 1988
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.19881390107
Subject(s) - mathematics , bounded function , extension (predicate logic) , operator (biology) , grid , pure mathematics , discrete mathematics , mathematical analysis , geometry , computer science , biochemistry , chemistry , repressor , transcription factor , gene , programming language
It is well‐known that functions u ϵ W m,p (Ω) can be extended by a bounded linear operator E to functions Eu ≦ W m,p ( R n ), if Ω is C M ‐regular and m ≦ M. Here we prove a corresponding result for grid‐functions with extension operators E h converging to E and mention some applications.