L-p-L-q estimates for convolution operators with n-dimensional singular measures

被引：4
|
作者：
Ferreyra, E
Godoy, T
Urciuolo, M
机构：
[1] Universidad Nacional de Córdoba Ciudad Universitaria,Facultad de Matemática, Astronomía y Física
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1997年 / 3卷 / 04期
关键词：
Half Space; Singular Integral Operator; Convolution Operator; Fractional Integration; Fourier Multiplier;
D O I：
10.1007/BF02649108
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let S subset of Rn+1 be the graph of the function phi : [-1, 1](n) --> R defined by phi (x(1),..., x(n)) = Sigma(j=1)(n) \x(j)\(alpha j), with 1 < alpha(1) less than or equal to...less than or equal to alpha(n), let sigma the Euclidean area measure on S. In this article we study the L-p - L-q boundedness of convolution operators with the singular Borel measure on Rn+1 given by mu (E) = sigma (E boolean AND S).
引用
收藏
页码：475 / 484
页数：10
相关论文
共 50 条
12345