Vector-valued wavelets and the Hardy space H1(Rn, X)

被引：9

作者：

Hytönen, T ^{[1
]}

机构：

[1] Univ Turku, Dept Math, FI-20014 Turku, Finland

来源：

STUDIA MATHEMATICA | 2006年 / 172卷 / 02期

关键词：

wavelet basis; atomic decomposition; generalized Calderon-Zygmund operators; UMD space;

D O I：

10.4064/sm172-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an analogue of Y. Meyer's wavelet characterization of the Hardy space H-1(R-n) for the space H-1(R-n, X) of X-valued functions. Here X is a Banach space with the UMD property. The proof uses results of T. Figiel on generalized Calderon-Zygmund operators on Bochner spaces and some new local estimates.

引用

页码：125 / 147

页数：23

共 21 条

[1]

BLASCO O, 1988, T AM MATH SOC, V308, P495

[2] SOME REMARKS ON BANACH-SPACES IN WHICH MARTINGALE DIFFERENCE-SEQUENCES ARE UNCONDITIONAL [J].