A Note on Parabolic Maximal Operators along Surfaces of Revolution via Extrapolation

被引：3
|
作者：
Ali, Mohammed [1 ]
Al-Qassem, Hussain [2 ]
机构：
[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan
[2] Qatar Univ, Coll Arts & Sci, Dept Math Stat & Phys, Math Program, Doha 2713, Qatar
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 06期
关键词：
extrapolation; boundedness; mixed homogeneity; rough kernels; maximal integrals; SINGULAR-INTEGRALS; ROUGH KERNELS;
D O I：
10.3390/sym14061147
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Under weak conditions on the kernels, we obtain sharp L-p bounds for rough parabolic maximal integral operators over surfaces of revolution. By virtue of these bounds along with Yano's extrapolation argument, we confirm the L-p boundedness of these maximal operators under weaker conditions on the kernels. Our obtained results represent substantial extensions and improvements of some known results on maximal operators with rough kernels on symmetric spaces.
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页数：14
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