Hardy Spaces and Heat Kernel Regularity

被引：1

作者：

Devyver, Baptiste ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

POTENTIAL ANALYSIS | 2018年 / 48卷 / 01期

关键词：

Hardy spaces; Manifolds; Differential forms; Gradient estimates; Heat kernel; Riesz transform; RIESZ TRANSFORM; RIEMANNIAN-MANIFOLDS; DIFFERENTIAL FORMS; INEQUALITIES;

D O I：

10.1007/s11118-017-9623-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that, for doubling manifolds satisfiying the scaled Poincar, inequalities and , the boundedness of the Riesz transform d Delta(-1/2) on L (p) , is essentially equivalent to the fact that is equal the L (p) closure of the set of L (p) exact harmonic 1-forms. Here, is a Hardy space of exact 1 -forms, naturally associated with the Riesz transform, as defined by Auscher, McIntosh and Russ.

引用

页码：1 / 33

页数：33

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