Endpoint Lp-Lq estimates for degenerate Radon transforms in R2 associated with real-analytic functions

被引：0

作者：

Lee, S ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea

来源：

MATHEMATISCHE ZEITSCHRIFT | 2003年 / 243卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider degenerate Radon transforms of the form Rf (t, x) = integral(R) f (t + S (x, y), y) psi (x, y) dy where psi is supported in a small neighborhood of the origin. Under the condition that S is real-analytic, we prove complete L-p - L-q estimates for R.

引用

页码：217 / 241

页数：25

共 11 条

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[10] Endpoint \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L^p-L^q$\end{document} estimates for degenerate Radon transforms in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\mathbb R}^2$\end{document} associated with real-analytic functions
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[J]. Mathematische Zeitschrift, 2003, 243 (4) : 817 - 841

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