BOUNDEDNESS OF MARCINKIEWICZ INTEGRALS ON HARDY SPACES Hp OVER NON-HOMOGENEOUS METRIC MEASURE SPACES

被引：2

作者：

Li, Haoyuan ^{[1
]}

Lin, Haibo ^{[1
]}

机构：

[1] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2018年 / 12卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Non-homogeneous metric measure space; Marcinkiewicz integral; Hardy space; CALDERON-ZYGMUND OPERATORS; MULTILINEAR COMMUTATORS; MORREY SPACES; THEOREM; H-1; BMO;

D O I：

10.7153/jmi-2018-12-26

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under the assumption that (X, d, mu) is a non-homogeneous metric measure space, the authors prove that the Marcinkiewicz integral operator is bounded from the molecular Hardy space (H) over tilde (p,q,gamma,epsilon)(mb, rho) (mu) (or the atomic Hardy space (H) over tilde (p,q,gamma)(atb,rho)(mu)) into the Lebesgue space L-P(mu). To this end, some boundedness criteria on these I lardy spaces are established.

引用

页码：347 / 364

页数：18

共 34 条

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