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Title: Marcinkiewicz-Zygmund Inequalities for Polynomials in Bergmann and Hardy Spaces
Author: Groechenig, Karlheinz
Ortega Cerdà, Joaquim
Keywords: Funcions de variables complexes
Anàlisi harmònica
Functions of complex variables
Harmonic analysis
Issue Date: 3-Feb-2021
Publisher: Springer Verlag
Abstract: 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.
Note: Versió postprint del document publicat a:
It is part of: Journal of Geometric Analysis, 2021, vol. 31, p. 7595-7619
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ISSN: 1050-6926
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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