Estimates for functions of generalized Marcinkiewicz operators related to surfaces of revolution

被引：1

作者：

Ali, Mohammed ^{[1
]}

Katatbeh, Qutaibeh ^{[1
]}

Al-Refai, Oqlah ^{[2
]}

Al-Shutnawi, Basma ^{[3
]}

机构：

[1] Jordan Univ Sci & Technol, Fac Sci & Arts, Dept Math & Stat, POB 3030, Irbid 22110, Jordan

[2] Zarqa Univ, Dept Math, Zarqa 13132, Jordan

[3] Tafila Tech Univ, Fac Sci, Dept Math, POB 179, Tafila 66110, Jordan

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 08期

关键词：

Triebel-Lizorkin space; singular kernels; generalized Marcinkiewicz integrals; L p estimates; extrapolation; SINGULAR-INTEGRALS; BOUNDEDNESS;

D O I：

10.3934/math.20241085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, specific L p estimates for generalized Marcinkiewicz operators correlated to surfaces of revolution are proved. These estimates and the extrapolation procedure of Yano are employed to confirm the L p boundedness of the above-mentioned integrals under weaker assumptions on the singular kernels. Our findings generalize and improve several known results.

引用

页码：22287 / 22300

页数：14

共 25 条

[1] On generalized Littlewood-Paley functions [J].