The essential norm of a composition operator mapping into Qk type spaces | Zendy

Marko Kotilainen | Zendy; Jouni Rättyä | Zendy

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The essential norm of a composition operator mapping into Q_k type spaces

Author(s) -

Marko Kotilainen,

Jouni Rättyä

Publication year - 2008

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2008/428910

Subject(s) - bloch space , mathematics , composition operator , norm (philosophy) , composition (language) , dirichlet distribution , operator norm , mathematical analysis , operator (biology) , pure mathematics , multiplication operator , operator theory , hilbert space , compact space , chemistry , linguistics , philosophy , biochemistry , repressor , political science , transcription factor , law , gene , boundary value problem

An asymptotic formula for the essential norm of the composition operator Cφ(f):=f∘φ, induced by an analytic self-map φ of the unit disc, mapping from the α-Bloch space ℬα or the Dirichlet type space Dαp into Qk(p,q) is established in terms of an integral condition

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