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
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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- ISSN: 2651-2939
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 2018
- Yayıncı: Tuncer ACAR