On Maximal Operators Associated with Singular Hypersurfaces

被引：1

作者：

Usmanov, S. E. ^{[1
]}

机构：

[1] Sh Rashidov Samarkand State Univ, Samarkand 140104, Uzbekistan

来源：

RUSSIAN MATHEMATICS | 2024年 / 68卷 / 01期

关键词：

maximal operator; averaging operator; fractional power series; boundedness exponent; singular hypersurface; AVERAGES; BOUNDEDNESS;

D O I：

10.3103/S1066369X24700051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Maximal operators associated with singular hypersurfaces in multidimensional Euclidean spaces are considered. These operators have been proven to be bounded, and an exponent of boundedness in the space of integrable functions has been found for the case when hypersurfaces are given by parametric equations.

引用

页码：61 / 68

页数：8

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