Singular integrals with rough kernels along real-analytic submanifolds in R3

被引：4

作者：

Fan, DS ^{[1
]}

Guo, KH

Pan, YB

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

[2] SW Missouri State Univ, Dept Math, Springfield, MO 65804 USA

[3] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 355卷 / 03期

关键词：

singular integrals; oscillatory integrals; Fourier transform; maximal functions; L-p boundedness; rough kernels; real-analytic submanifolds;

D O I：

10.1090/S0002-9947-02-03175-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

L-p mapping properties will be established in this paper for singular Radon transforms with rough kernels defined by translates of a real-analytic submanifold in R-3.

引用

页码：1145 / 1165

页数：21

共 24 条

[1] HILBERT-TRANSFORMS ALONG CURVES .1. NILPOTENT GROUPS
CHRIST, M
[J]. ANNALS OF MATHEMATICS, 1985, 122 (03) : 575 - 596
[2] Singular and maximal Radon transforms: Analysis and geometry
Christ, M
Nagel, A
Stein, EM
Wainger, S
[J]. ANNALS OF MATHEMATICS, 1999, 150 (02) : 489 - 577
[3] EXTENSIONS OF HARDY SPACES AND THEIR USE IN ANALYSIS
COIFMAN, RR
WEISS, G
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (04) : 569 - 645
[4] Colzani L., 1982, Ph. D. Thesis
[5] CONNETT W. C., 1979, P S PURE MATH, V35, P163
[6] MAXIMAL AND SINGULAR INTEGRAL-OPERATORS VIA FOURIER-TRANSFORM ESTIMATES
DUOANDIKOETXEA, J
DEFRANCIA, JLR
[J]. INVENTIONES MATHEMATICAE, 1986, 84 (03) : 541 - 561
[7] Fan DS, 1997, AM J MATH, V119, P799
[8] Singular integrals with rough kernels along real-analytic submanifolds in Rn
Fan, DS
Guo, KH
Pan, YB
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1999, 33 (01) : 8 - 19
[9] Restriction theorems related to atoms
Fan, DS
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1996, 40 (01) : 13 - 20
[10] NOTE ON SINGULAR INTEGRALS
FEFFERMAN, R
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 74 (02) : 266 - 270

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