Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
Classical Analysis and ODEs
2023-10-25 v1
Abstract
In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Bessel operators and Banach valued BMO-functions. By the way we describe q-uniformly convexity and smoothness of a Banach space in terms of the mapping properties of the Lusin integral defined by the Poisson semigroup for Bessel operators.
Keywords
Cite
@article{arxiv.1107.5698,
title = {Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings},
author = {Jorge J. Betancor and Alejandro J. Castro and Lourdes Rodríguez-Mesa},
journal= {arXiv preprint arXiv:1107.5698},
year = {2023}
}
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32 pages