On the Sharp Estimates for Maximal Operators

被引：0

作者：

Barakayev, Azamat M. ^{[1
]}

机构：

[1] Samarkand State Univ, Samarkand, Uzbekistan

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2023年 / 16卷 / 03期

关键词：

maximal operator; Fourier transform; hypersurface; boundedness; OSCILLATORY INTEGRALS; HYPERSURFACES; AVERAGES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with boundedness problem for the maximal operators associated with hypersurfaces in the space of square integrable functions. A necessary condition for boundedness is given in the case of one nonvanishing principal curvature. A criterion for the boundedness is obtained for a particular class of convex hypersurfaces.

引用

页码：348 / 356

页数：9

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