Bourgain discretization using Lebesgue-Bochner spaces
Functional Analysis
2018-11-13 v1 Metric Geometry
Abstract
We study the Lebesgue-Bochner discretization property of Banach spaces , which ensures that the Bourgain's discretization modulus for has a good lower estimate. We prove that there exist spaces that do not have the Lebesgue-Bochner discretization property, and we give a class of examples of spaces that enjoy this property.
Keywords
Cite
@article{arxiv.1811.04090,
title = {Bourgain discretization using Lebesgue-Bochner spaces},
author = {Mikhail I. Ostrovskii and Beata Randrianantoanina},
journal= {arXiv preprint arXiv:1811.04090},
year = {2018}
}