Strichartz's Radon transforms for mutually orthogonal affine planes and fractional integrals

被引：0
|
作者：
Wang, Yingzhan [1 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2022年 / 25卷 / 05期
关键词：
Radon transforms (primary); Grassmann manifolds; Riesz potentials; Semyanistyi integrals;
D O I：
10.1007/s13540-022-00079-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the general orthogonal Radon transform R-j, k(p) first studied by R.S. Strichartz in [21]. The main conclusions include the sharp existence conditions for R-j, k(p) f on Lebesgue spaces, the relation formulas connecting our transforms with the fractional integrals and Semyanistyi integrals, through which a number of explicit inversion formulas are obtained when f restricted in the range of j-plane transforms.
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页码：1971 / 1993
页数：23
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