A new characterization of p-smoothable Banach spaces

Authors
Ren, Yan Bo Hou, You Liang
Citation
Ren, Yan Bo et Hou, You Liang, A new characterization of p-smoothable Banach spaces, Acta mathematica Sinica. English series (Print) , 27(5), 2011, pp. 1005-1010
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
27
Issue
5
Year of publication
2011
Pages
1005 - 1010
Database
ACNP
SICI code
Abstract
In this paper an atomic decomposition theorem for Banach-space-valued weak Hardy regular martingale space w p H S . (X) is given. As an application, p-smoothable Banach spaces are characterized in terms of bounded sublinear operators defined on Banach-space-valued weak Hardy regular martingale space w p H S . (X).