Marcinkiewicz-Zygmund Inequalities for Polynomials in Bergmann and Hardy Spaces
arXiv:2005.14176 · doi:10.1007/s12220-020-00599-5
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.
23 pp