Duality of certain Banach spaces of vector-valued holomorphic functions

Autor:	Bertoloto, Fábio José
Rok vydání:	2012
Předmět:	Mathematics - Functional Analysis 46G20 46G10 30H10
Druh dokumentu:	Working Paper
Popis:	In this work we study the vector-valued Hardy spaces H p (D; F) (1 \leq p \leq \infty) and their relationship with RNP, ARNP and the UMDP properties. By following the approach of Taylor in the scalar-valued case, we prove that, when F and F have the ARNP property, then H p (D; F) and H q (D; F) are canonically topologically isomorphic (for p, q \in (1, \infty) conjugate indices) if and only if F has the UMDP.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1203.5322 Zobrazit plný text záznamu View this record from Arxiv