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.
Interpolation sequences weighted Bergman spaces pseudohyberbolic distance Fréchet differentiable functions. Analytic functions
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Early Pub Date | June 4, 2023 |
Publication Date | June 15, 2023 |
Published in Issue | Year 2023 |