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

Authors : Mohammed El Aidi

Pages : 102-106

Doi:10.33205/cma.1240126

View : 111 | Download : 40

Publication Date : 2023-06-15

Article Type : Research Article

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