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 an...
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| Published in: | Constructive mathematical analysis Vol. 6; no. 2; pp. 102 - 106 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
15.06.2023
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| ISSN: | 2651-2939, 2651-2939 |
| Online Access: | Get full text |
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| Summary: | 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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| ISSN: | 2651-2939 2651-2939 |
| DOI: | 10.33205/cma.1240126 |