Essential norm of products of multiplication composition and differentiation operators on weighted Bergman spaces |
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| Authors: | Stevo Stevi? Ajay K SharmaAmbika Bhat |
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| Institution: | a Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, Serbia
b School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra 182320, J&K, India |
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| Abstract: | Let ψ be a holomorphic function on the open unit disk D and φ a holomorphic self-map of D. Let Cφ,Mψ and D denote the composition, multiplication and differentiation operator, respectively. We find an asymptotic expression for the essential norm of products of these operators on weighted Bergman spaces on the unit disk. This paper is a continuation of our recent paper concerning the boundedness of these operators on weighted Bergman spaces. |
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| Keywords: | Product operator Multiplication operator Bergman space Essential norm Unit disk |
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