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
收藏
页码：348 / 356
页数：9
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