A new characterization of p-smoothable Banach spaces

作者：Ren, Yan Bo^*; Hou, You Liang

来源：Acta Mathematica Sinica-English Series, 2011, 27(5): 1005-1010.

DOI：10.1007/s10114-011-8026-1

• Martingale
• weak Hardy space
• atomic decomposition
• p-smoothable Banach space

In this paper an atomic decomposition theorem for Banach-space-valued weak Hardy regular martingale space w (p) H (alpha) (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 (alpha) (S) (X).

• 出版日期2011-5
• 单位河南大学; 武汉大学