Decomposition Methods for Function Spaces of  B        p,q    s     Type and  F        p,q    s     Type | Zendy

Stöckert Bernd | Zendy; Triebel Hans | Zendy

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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.

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