Marcinkiewicz-Zygmund Inequalities for Polynomials in Bergmann and Hardy Spaces
We study the relationship between sampling sequences in infinite dimensional Hilbert spaces of analytic functions and Marcinkiewicz-Zygmund inequalities in subspaces of polynomials. We focus on the study of the Hardy space and the Bergman space in one variable because they provide two settings with...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/179504 |
| Acesso em linha: | https://hdl.handle.net/2445/179504 |
| Access Level: | acceso abierto |
| Palavra-chave: | Funcions de variables complexes Anàlisi harmònica Functions of complex variables Harmonic analysis |
| Resumo: | We study the relationship between sampling sequences in infinite dimensional Hilbert spaces of analytic functions and Marcinkiewicz-Zygmund inequalities in subspaces of polynomials. We focus on the study of the Hardy space and the Bergman space in one variable because they provide two settings with a strikingly different behavior. |
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