A note on the existence of singular integrals

被引：0
作者：
Yongzhong S. [1 ,2 ]
机构：
[1] Dept. of Math, Zhejiang Univ, Hangzhou
[2] Dept. of Math, Wenzhou Teacher's College, Wenzhou
来源：
Applied Mathematics-A Journal of Chinese Universities | 2001年 / 16卷 / 3期
关键词：
Lip[!sub]α[!/sub]. (R[!sup]n[!/sup]) space; Singular integral;
D O I：
10.1007/s11766-001-0068-1
中图分类号：
学科分类号：
摘要：
In this note the existence of a singular integral operator T acting on Lipα. (Rn) spaces is studied. Suppose f ∊ Lipα (Rn) (0 <α < 1). If Tf (x0) exists for a single point x0 ∊ Rn, then Tf (x) exists everywhere for x ∊ Rn and Tf∊ Lipα (Rn). © 2001, Springer Verlag. All rights reserved.
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页码：290 / 296
页数：6
相关论文
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