English

Marcinkiewicz-Zygmund inequalities

Classical Analysis and ODEs 2010-07-08 v1

Abstract

We study a generalization of the classical Marcinkiewicz-Zygmund inequalities. We relate this problem to the sampling sequences in the Paley-Wiener space and by using this analogy we give sharp necessary and sufficient computable conditions for a family of points to satisfy the Marcinkiewicz-Zygmund inequalities.

Keywords

Cite

@article{arxiv.math/0507533,
  title  = {Marcinkiewicz-Zygmund inequalities},
  author = {Joaquim Ortega-Cerdà and Jordi Saludes},
  journal= {arXiv preprint arXiv:math/0507533},
  year   = {2010}
}