Function Spaces with Exponential Weights II | Zendy

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Function Spaces with Exponential Weights II

Author(s) -

Schott Thomas

Publication year - 1998

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.19981960110

Subject(s) - mathematics , exponential function , exponential type , euclidean geometry , function (biology) , weight function , euclidean space , pure mathematics , space (punctuation) , function space , type (biology) , exponential growth , continuation , combinatorics , discrete mathematics , mathematical analysis , geometry , ecology , linguistics , philosophy , evolutionary biology , computer science , biology , programming language

This paper is a continuation of [8]. We study weighted function spaces of type B pq 3and F pq 3on the Euclidean space R n , where u is a weight function of at most exponential growth. In particular, u (χ (±|χ|) is an admissible weight. We deal with atomic decompositions of these spaces. Furthermore, we prove that the spaces B pq 3and F pq 3are isomorphic to the corresponding unweighted spaces B pq 3and F pq 3 .

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