Lp bounds for rough parabolic maximal operators

Heliyon

Qutaibeh Katatbeh¹  Mohammed Ali² 

[1] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan;Corresponding author.;

关键词: Mathematics;    Lp boundedness;    Rough kernels;    Surfaces of revolution;    Parabolic maximal operators;    Extrapolation;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this article, we establish the Lp estimates for a certain class of rough parabolic maximal functions related to surfaces of revolution. The obtained estimates allow us to apply an extrapolation argument to extend and improve some previously known results.

【 授权许可】

Unknown