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General Function Spaces, V. (The Spaces B g(x) p, q and F g(x) p, q : The Case 0<p≦∞)
Author(s) -
Jena Hans Triebel In
Publication year - 1979
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.19790870114
Subject(s) - mathematics , hardy space , sobolev space , interpolation space , type (biology) , pure mathematics , birnbaum–orlicz space , maximal function , function space , besov space , banach space , mathematical analysis , functional analysis , biology , gene , ecology , biochemistry , chemistry
In this paper quasi‐BANACH spaces of (generalized) distributions are considered, including spaces of BESOV type, HARDY type and SOBOLEV type. The methods are based on the real variable approach to the HARDY spaces by FEFFERMAN and STEIN, and on the modification of this approach in connection with spaces of F s p, q ‐type by PEETRE.