A class of rough generalized Marcinkiewicz integrals along twisted surfaces

被引：0
作者：
Al-Qassem, Hussain [1 ]
Ali, Mohammed [2 ,3 ]
机构：
[1] Qatar Univ, Dept Math & Stat, Doha, Qatar
[2] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan
[3] Abdullah Al Salem Univ, Coll Integrat Studies, Khaldiya, Kuwait
来源：
AIMS MATHEMATICS | 2025年 / 10卷 / 06期
关键词：
boundedness; rough kernels; generalized Marcinkiewicz integrals; twisted surfaces; LITTLEWOOD-PALEY FUNCTIONS; OPERATORS; BOUNDEDNESS; KERNELS;
D O I：
10.3934/math.2025650
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigated the mapping properties of generalized Marcinkiewicz integral operators associated with twisted surfaces. Under certain conditions on these surfaces, we established suitable Lp estimates for these operators, assuming the kernel functions belong to Lq (Uj-1 x Uk-1) . By combining these estimates with Yano's extrapolation technique, we further established the boundedness of these operators from the homogeneous Triebel-Lizorkin space Fp (Rj x Rk) to the space Lp(Rj x Rk) under significantly weaker assumptions on the kernels. Our results extended and improved many previously known results.
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收藏
页码：14459 / 14471
页数：13
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