On an interpolation sequence for a weighted Bergman space on a Hilbert unit ball

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Constructive Mathematical Analysis
Volume:6 Issue:2
On an interpolation sequence for a weighted Bergman space on a Hilbert unit ball

On an interpolation sequence for a weighted Bergman space on a Hilbert unit ball

Pages : 102-106

View : 104 | Download : 37

Publication Date : 2023-06-15

Article Type : Research Paper

Abstract :The purpose is to provide a generalization of Carleson\`s Theorem on interpolating sequences when dealing with a sequence in the open unit ball of a Hilbert space. Precisely, we interpolate a sequence by a function belonging to a weighted Bergman space of infinite order on a unit Hilbert ball and we furnish explicitly the upper bound corresponding to the interpolation constant.
Keywords : Interpolation sequences, weighted Bergman spaces, pseudohyberbolic distance, Fréchet differentiable functions, Analytic functions

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