Marcinkiewicz--Zygmund inequalities

  • Authors:

  • Joaquim Ortega-Cerdà;Jordi Saludes

  • Affiliations:

  • Dept. Matemàtica Aplicada i Anàlis i, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain;Dept. Matemàtica Aplicada 2, Universitat Politècnica de Catalunya, Edifici TR5, Colom 11, 08222 Terrassa, Spain

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

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.