On composition operators in QK type spaces | Zendy

Marko Kotilainen | Zendy

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On composition operators in Q_K type spaces

Author(s) -

Marko Kotilainen

Publication year - 2007

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2007/956392

Subject(s) - composition (language) , mathematics , compact space , type (biology) , banach space , space (punctuation) , bloch space , function (biology) , analytic function , function space , composition operator , functional analysis , pure mathematics , operator (biology) , mathematical analysis , combinatorics , discrete mathematics , finite rank operator , chemistry , computer science , ecology , philosophy , linguistics , biology , biochemistry , repressor , evolutionary biology , gene , transcription factor , operating system

Let p≥1, q>-2 and let K:[0,∞)→[0,∞) be nondecreasing. With a different choice of p, q, K, the Banach space QK(p,q) coincides with many well-known analytic function spaces. Boundedness and compactness of the composition operator Cφ from α-Bloch space Bα into QK(p,q) are characterized by a condition depending only on analytic mapping φ:→. The same properties are also studied in the case Cφ:QK(p,q)→Bα

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