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Decomposition Methods for Function Spaces of B p,q s Type and F p,q s Type
Author(s) -
Stöckert Bernd,
Triebel Hans
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.19790890121
Subject(s) - mathematics , besov space , birnbaum–orlicz space , sobolev space , interpolation space , type (biology) , pure mathematics , lp space , lipschitz continuity , hardy space , maximal function , function space , mathematical proof , decomposition , mathematical analysis , functional analysis , banach space , geometry , ecology , biochemistry , chemistry , biology , gene
In the paper there are considered the spaces B p,q s(x) , and F p,q s(x) , containing B ESOV spaces (= L IPSCHITZ spaces), H ÖLDER ‐Z YGMUND spaces, S OBOLEV ‐L EBESGUE spaces (= B ESSEL potential spaces), H ARDY spaces, and generalizations of them. The proofs use decomposition methods in R n and the related F EFFERMAN ‐S TEIN ‐P EETRE technique.