Singular integrals associated to hypersurfaces:: L2 theory

被引：5
|
作者：
Wainger, S [1 ]
Wright, J
Ziesler, S
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
[3] Univ Coll Dublin, Dept Math, Dublin 4, Ireland
[4] Dominican Univ, Dept Math & Comp Sci, River Forest, IL USA
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1999年 / 167卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1006/jfan.1999.3444
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider singular integrals associated to a classical Calderon-Zygmund kernel K and a hypersurface given by the graph of phi(psi(t)) where phi is an arbitrary C-1 function and psi is a smooth convex function of finite type. Wr give a characterization of those Calderon Zygmund kernels K and convex functions psi so that the associated singular integral operator is hounded on L-2 for all C-1 functions phi. (C) 1999 Academic Press.
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页码：148 / 182
页数：35
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