Products of multiplication, composition and differentiation between weighted Bergman-Nevanlinna and Bloch-type spaces

Authors : Ajay K. Sharma

Pages : 275-291

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Let j and y be holomorphic maps on D such that j ( D ) \subset D . Let Cj , My and D be the composition, multiplication and differentiation operators, respectively. In this paper, we consider linear operators induced by products of these operators from Bergman-Nevanlinna spaces AbN to Bloch-type spaces. In fact, we prove that these operators map AbN compactly into Bloch-type spaces if and only if they map AbN boundedly into these spaces.
Keywords : Composition operator, Multiplication operator, Differentiation operator, Bergman space, Bloch space, Growth space