Hardy spaces associated to the sections

被引：15

作者：

Ding, Y ^{[1
]}

Lin, CC

机构：

[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

[2] Natl Cent Univ, Dept Math, Chungli 320, Taiwan

来源：

TOHOKU MATHEMATICAL JOURNAL | 2005年 / 57卷 / 02期

关键词：

BMO's; Hardy spaces; Monge-Ampere equation; singular integral operators;

D O I：

10.2748/tmj/1119888333

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we define the Hardy space H-F(1)(R") associated with a family F of sections and a doubling measure A, where T is closely related to the Monge-Ampere equation. Furthermore, we show that the dual space of H-F(1)(R-n) is just the space BMOF(R-n), which was first defined by Caffarelli and Gutierrez. We also prove that the Monge-Ampere singular integral operator is bounded from H-F(1)(R-n) to L-1 (R-n, d mu).

引用

页码：147 / 170

页数：24

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