Sharp Lp-boundedness of oscillatory integral operators with polynomial phases

被引：0
作者：
Shi, Zuoshunhua [1 ,2 ]
Yan, Dunyan [3 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[3] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China
来源：
MATHEMATISCHE ZEITSCHRIFT | 2017年 / 286卷 / 3-4期
关键词：
Sharp L-p boundedness; Oscillatory integral operators; Polynomial phases; Endpoint decay estimates; RADON TRANSFORMS; SINGULAR-INTEGRALS; L-2; CONVOLUTION; BOUNDS;
D O I：
10.1007/s00209-016-1800-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we shall prove the L-p endpoint decay estimates of oscillatory integral operators with homogeneous polynomial phases S in R x R. As a consequence, sharp Lp decay estimates are also obtained when polynomial phases have the form S( x(m1), y(m2)) with m(1) and m(2) being positive integers. In this paper, we shall prove the endpoint decay estimates of oscillatory integral operators with homogeneous polynomial phases S in . As a consequence, sharp decay estimates are also obtained when polynomial phases have the form with and being positive integers.
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页码：1277 / 1302
页数：26
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