Bourgain discretization using Lebesgue-Bochner spaces
classification
🧮 math.FA
math.MG
keywords
discretizationspaceslebesgue-bochnerpropertybourgainbanachclassenjoy
read the original abstract
We study the Lebesgue-Bochner discretization property of Banach spaces $Y$, which ensures that the Bourgain's discretization modulus for $Y$ 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.