Commutators of Hausdorff operators on Herz-type Hardy spaces

被引：1

作者：

Kieu Huu Dung ^{[1
]}

Pham Thi Kim Thuy ^{[2
]}

机构：

[1] Van Lang Univ, Fac Basic Sci, Ho Chi Minh City, Vietnam

[2] FPT Univ, Dept Math, Ho Chi Minh City, Vietnam

来源：

ADVANCES IN OPERATOR THEORY | 2022年 / 7卷 / 03期

关键词：

Commutator; Hausdorff operator; Lipschitz space; Central BMO space; Herz space; Herz-type Hardy space; BOUNDEDNESS; INEQUALITIES; BMO;

D O I：

10.1007/s43036-022-00202-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, by applying the results of Zhou (Taiwan J Math 13:983-996, 2009), we investigate the boundedness for the commutators of Hausdorff operators on the weighted Herz-type Hardy spaces with symbols in central BMO spaces and Lipschitz spaces.

引用

页数：19

共 32 条

[1] Multivariate Hausdorff operators on the spaces Lp(Rn) [J].

Brown, G ;

Móricz, F .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 271 (02) :443-454

[2] Hausdorff operators on Morrey-type spaces [J].

Burenkov, V ;

Liflyand, E. .

KYOTO JOURNAL OF MATHEMATICS, 2020, 60 (01) :93-106

[3] ON SINGULAR INTEGRALS [J].

CALDERON, AP ;

ZYGMUND, A .

AMERICAN JOURNAL OF MATHEMATICS, 1956, 78 (02) :289-309

[4] COMMUTATORS OF SINGULAR INTEGRAL OPERATORS [J].

CALDERON, AP .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1965, 53 (05) :1092-&

[5] Hausdorff operators on Euclidean spaces [J].

Chen Jie-cheng ;

Fan Da-shan ;

Wang Si-lei .

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2013, 28 (04) :548-564

[6] Boundedness of multidimensional Hausdorff operators on H1(Rn) [J].

Chen Jiecheng ;

Zhu Xiangrong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409 (01) :428-434

[7] Hausdorff operators on function spaces [J].

Chen, Jiecheng ;

Fan, Dashan ;

Li, Jun .

CHINESE ANNALS OF MATHEMATICS SERIES B, 2012, 33 (04) :537-556

[8] Weighted Estimates for Commutators of Hausdorff Operators on the Heisenberg Group [J].

Chuong, N. M. ;

Duong, D. V. ;

Duyet, N. D. .

RUSSIAN MATHEMATICS, 2020, 64 (02) :35-55

[9] Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces [J].

Chuong, N. M. ;

Duong, D. V. ;

Dung, K. H. .

MATHEMATICAL NOTES, 2019, 106 (1-2) :20-37

[10] Two-weighted estimates for multilinear Hausdorff operators on the Morrey-Herz spaces [J].

Chuong, Nguyen Minh ;

Van Duong, Dao ;

Duyet, Nguyen Duc .

ADVANCES IN OPERATOR THEORY, 2020, 5 (04) :1780-1813

← 1 2 3 4 →