Hilbert单位球上加权Bergman空间的插值序列

IF 1.1 Q1 MATHEMATICS Constructive Mathematical Analysis Pub Date : 2023-06-03 DOI:10.33205/cma.1240126

Mohammed EL AIDI

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摘要

目的是在处理Hilbert空间的开单位球上的序列时，提供Carleson定理在插值序列上的推广。精确地说，我们在一个单位希尔伯特球上用一个属于无限阶加权Bergman空间的函数对序列进行插值，并给出了插值常数对应的上界。

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

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.

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