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Extension of Functions in Sobolev Spaces on Parameter Dependent Domains
Author(s) -
Maz'ya Vladimir G.,
Poborchi Sergey V.
Publication year - 1996
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.19961780102
Subject(s) - mathematics , sobolev space , extension (predicate logic) , pure mathematics , mathematical analysis , interpolation space , functional analysis , biochemistry , chemistry , computer science , gene , programming language
Two‐sided ϵ‐dependent estimates for norms of extension operators acting in Sobolev spaces on the exterior or interior of an ϵ‐ thin cylindrical layer are obtained. Applications to some particular domains depending on small parameters are given.