A new characterization of q-convexifiable Banach spaces

作者：Ren Yanbo^*

来源：Publicationes Mathematicae-Debrecen, 2008, 73(3-4): 333-339.

• martingale
• weak Hardy space
• atomic decomposition
• q-convexifiable Banach space

In this paper an atomic decomposition theorem for Banach-space-valued weak Hardy regular martingale space wH(p)(X) is given. As an application, we show that a Banach space X is q-convexifiable if and only if parallel to S((q)) (f)parallel to(wLp) <= C parallel to f*parallel to(wLp) (0 < p < infinity, 2 <= q < infinity) for each X-valued regular martingale f = (f(n))(n >= 0).

• 出版日期2008-10
• 单位河南大学