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Marcinkiewicz-Zygmund Inequalities for Polynomials in Bergmann and Hardy Spaces (2005.14176v1)
Published 28 May 2020 in math.CV and math.FA
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.
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