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• W2136537765 abstract "If f and g are analytic functions in the unit disc D, then f is said to be weakly subordinate to g, written fw g, if there exist analytic functionsand ! : D ! D, withan inner function, so that f � � = g � !. A class X of analytic functions in D is said to be stable if it is closed under weak subordination, that is, if f 2 X whenever f and g are analytic functions in D with g 2 X and fw g. For 0 −1, we let A p denote the weighted Bergman space of all functions f, analytic in D, such that f 2 L p (1 − j zj 2 ) � dxdyand the space of Dirichlet type D p consists of those f such that f 0 2 A p. Among other results, we prove that all the Bergman spaces A p (0 −1) and all the D p-spaces except the space D 2 = H 2 are non-stable classes of analytic functions in D." @default.
• W2136537765 created "2016-06-24" @default.
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• W2136537765 creator A5083223266 @default.
• W2136537765 date "2004-01-01" @default.
• W2136537765 modified "2023-10-01" @default.
• W2136537765 title "NON-STABLE CLASSES OF ANALYTIC FUNCTIONS" @default.
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