Maximal Averages over Singular Hypersurfaces

被引：0

作者：

Usmanov, Salim ^{[1
,2
]}

Ekincioglu, Ismail ^{[3
]}

机构：

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

[2] Kimyo Int Univ Tashkent, Tashkent, Uzbekistan

[3] Istanbul Medeniyet Univ, TR-34700 Istanbul, Turkiye

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2025年 / 46卷 / 03期

关键词：

Maximal operator; regular point; boundedness; fractional power series; singular hypersurface; principal curvatures; BOUNDEDNESS; R-3;

D O I：

10.1134/S1995080225605235

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider maximal operators associated with a class of parameterized singular hypersurfaces in Rn+1, showing boundedness of these operators in Lebesgue L-p space for p >2. Also, we prove that at least one of the principal curvatures is non-zero at each regular point of these hypersurfaces.

引用

页码：1437 / 1443

页数：7

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