Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications

被引：30

作者：

The Anh Bui ^{[1
]}

Xuan Thinh Duong ^{[1
]}

Fu Ken Ly ^{[2
,3
]}

机构：

[1] Macquarie Univ, Dept Math, Sydney, NSW 2109, Australia

[2] Univ Sydney, Fac Sci, Sch Math & Stat, Sydney, NSW 2006, Australia

[3] Univ Sydney, Math Learning Ctr, Educ Portfolio, Sydney, NSW 2006, Australia

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2020年 / 278卷 / 08期

基金：

澳大利亚研究理事会;

关键词：

Hardy space; Maximal function characterization; Second order elliptic operator; Fourier-Bessel operator; SELF-ADJOINT OPERATORS; SCHRODINGER-OPERATORS; ATOMIC DECOMPOSITION; HP SPACES; DISTRIBUTIONS;

D O I：

10.1016/j.jfa.2019.108423

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove nontangential and radial maximal function characterizations for Hardy spaces associated to a non-negative self-adjoint operator satisfying Gaussian estimates on a space of homogeneous type with finite measure. This not only addresses an open point in the literature, but also gives a complete answer to the question posed by Coifman and Weiss in the case of finite measure. We then apply our results to give maximal function characterizations for Hardy spaces associated to second order elliptic operators with Neumann and Dirichlet boundary conditions, Schrodinger operators with Dirichlet boundary conditions, and Fourier-Bessel operators. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：55

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