在Bessel设定下利用Carleson测度刻画一致凸与光滑Banach空间
Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
AI总结：
本文利用由Bessel算子和Banach值BMO函数相关Poisson积分定义的Carleson测度，给出了q一致凸与光滑Banach空间的新刻画，并通过Lusin积分的映射性质描述其一致凸性与光滑性。
摘要：
本文利用Carleson测度获得了q一致凸与光滑Banach空间的新刻画。这些测度由与Bessel算子及Banach值BMO函数相关联的Poisson积分定义。此外，我们用Bessel算子Poisson半群定义的Lusin积分的映射性质描述了Banach空间的q一致凸性与光滑性。
英文摘要：
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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