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arXiv · 1107.5698

Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings

Jorge J. Betancor·Alejandro J. Castro·Lourdes Rodríguez-Mesa
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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.

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Jorge J. Betancor, Alejandro J. Castro, Lourdes Rodríguez-Mesa. 2011-07-28. Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings. https://arxiv.org/abs/1107.5698

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