WEIGHTED ESTIMATES FOR THE k-PLANE TRANSFORM OF RADIAL FUNCTIONS ON EUCLIDEAN SPACES

被引：3

作者：

Kumar, Ashisha ^{[1
]}

Ray, Swagato K. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2012年 / 188卷 / 01期

关键词：

OPERATORS; INEQUALITIES; INTEGRALS;

D O I：

10.1007/s11856-011-0091-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the L-p - L-q mapping property of k-plane transforms acting on radial functions in certain weighted L-p spaces with power weight. We show that for all admissible power weights it is not always possible to get strong (p, q) boundedness of the k-plane transform. However, we prove the best possible estimates with respect to the Lorentz norms.

引用

页码：25 / 56

页数：32

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