Marcinkiewicz-Zygmund Inequalities for Polynomials in Bergmann and Hardy Spaces
Complex Variables
2023-04-18 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2005.14176,
title = {Marcinkiewicz-Zygmund Inequalities for Polynomials in Bergmann and Hardy Spaces},
author = {Karlheinz Gröchenig and Joaquim Ortega-Cerdà},
journal= {arXiv preprint arXiv:2005.14176},
year = {2023}
}
Comments
23 pp