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Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space
Author(s) -
Ihnatsyeva Lizaveta,
Korte Riikka
Publication year - 2015
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.201100245
Subject(s) - mathematics , sobolev space , smoothness , interpolation space , pure mathematics , euclidean geometry , euclidean space , birnbaum–orlicz space , order (exchange) , type (biology) , space (punctuation) , sobolev inequality , mathematical analysis , functional analysis , geometry , ecology , biochemistry , chemistry , linguistics , philosophy , biology , gene , finance , economics
We study Sobolev type spaces defined in terms of sharp maximal functions on Ahlfors regular subsets of R n and the relation between these spaces and traces of classical Sobolev spaces.