Estimates for Hausdorff operator associated with the Opdam-Cherednik transform and its commutator on weighted Morrey-Herz spaces

被引：1

作者：

Hong, Ngo Thi ^{[1
,2
,3
]}

Duong, Dao Van ^{[3
,4
]}

机构：

[1] Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

[3] Mientrung Univ Civil Engn, Sch Math, Phu Yen, Vietnam

[4] Mientrung Univ Civil Engn, Math & Phys Res Grp, Phu Yen, Vietnam

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2024年 / 15卷 / 03期

关键词：

Hausdorff operator; Opdam-Cherednik transform; Commutator; Morrey-Herz space; Lipschitz space; Power weight; BOUNDEDNESS;

D O I：

10.1007/s11868-024-00625-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give necessary and sufficient conditions for the boundedness of Hausdorff operator on power-weighted Morrey-Herz spaces that are associated with the Opdam-Cherednik transform. Moreover, we provide some Lipschitz estimates for its commutator on such spaces.

引用

页数：23

共 31 条

[1]

Andersen K.F., 2003, Acta Sci. Math. (Szeged), V69, P409

[2] Real Paley-Wiener theorems and Roe's theorem associated with the Opdam-Cherednik transform [J].