On the Boundedness of the Maximal Operators Associated with Singular Hypersurfaces

被引：2
作者：
Usmanov, S. E. [1 ]
机构：
[1] Samarkand State Univ Named Sh Rashidov, Samarkand 140104, Uzbekistan
来源：
MATHEMATICAL NOTES | 2023年 / 114卷 / 1-2期
关键词：
maximal operator; averaging operator; fractional power series; regular point; singular hypersurface; DAMPED OSCILLATORY INTEGRALS; AVERAGES;
D O I：
10.1134/S0001434623070118
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper deals with maximal operators associated with a family of singular hypersurfaces in the space Rn+1. The boundedness of these operators in the space of integrable functions is proved for the case in which the singular hypersurfaces are given by parametric equations. The boundedness exponent of maximal operators for spaces of integrable functions is found.
引用
收藏
页码：108 / 116
页数：9
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