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• W1973078412 abstract "If X ⊂ Y are two classes of analytic functions in the unit disk D and θ is an inner function, θ is said to be ( X , Y ) - improving , if every function f ∈ X satisfying f θ ∈ Y must actually satisfy f θ ∈ X . This notion has been recently introduced by K.M. Dyakonov. In this paper we study the ( X , Y ) -improving inner functions for several pairs of spaces ( X , Y ) . In particular, we prove that for any p ∈ ( 0 , 1 ) the ( Q p , BMOA ) -improving inner functions and the ( Q p , B ) -improving inner functions are precisely the inner functions which belong to the space Q p . Here, B is the Bloch space. We also improve some results of Dyakonov on the subject regarding Lipschitz spaces and Besov spaces." @default.
• W1973078412 created "2016-06-24" @default.
• W1973078412 creator A5083223266 @default.
• W1973078412 date "2008-09-01" @default.
• W1973078412 modified "2023-09-26" @default.
• W1973078412 title "Inner functions as improving multipliers" @default.
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• W1973078412 doi "https://doi.org/10.1016/j.jfa.2008.06.010" @default.
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