Volterra operators between limits of Bergman-type weighted spaces of analytic functions

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Hacettepe Journal of Mathematics and Statistics
Volume:50 Issue:4
Volterra operators between limits of Bergman-type weighted spaces of analytic functions

Volterra operators between limits of Bergman-type weighted spaces of analytic functions

Pages : 949-962

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Publication Date : 2021-08-06

Article Type : Research Paper

Abstract :We characterize continuity and compactness of the Volterra integral operator $T_g$ with the non-constant analytic symbol $g$ between certain weighted Fréchet or insert ignore into journalissuearticles values(LB);-spaces of analytic functions on the open unit disc, which arise as projective insert ignore into journalissuearticles values(resp. inductive); limits of intersections insert ignore into journalissuearticles values(resp. unions); of Bergman spaces of order $1 Keywords : Volterra operator, weighted spaces of analytic functions, Bergman spaces, Fréchet spaces LB, spaces, spectrum

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