吉首大学学报（自然科学版）2017，Vol.38Issue(5)：1-4,15,5.DOI:10.3969/j.cnki.jdxb.2017.05.001
具有齐次核的奇异积分算子的范数及其应用
Norm of a Singular Integral Operator with Homogeneous Kernel and Its Application
摘要
Abstract
Suppose K(x,y) satisfies K(x,y)=K(y,x) and K(tx,ty) =tλK(x,y).Define the singular integral operator T as T(f)(y)=K(x,y)f(x)dx,y ∈ (0,+∞).Sufficient conditions guaranteeing the norm of T are obtained.Some new integral inequalities are proved from these results.关键词
对称齐次核/奇异积分算子/范数/有界算子Key words
symmetric homogeneous kernel/singular integral operator/norm/bounded operator分类
数理科学引用本文复制引用
洪勇..具有齐次核的奇异积分算子的范数及其应用[J].吉首大学学报（自然科学版）,2017,38(5):1-4,15,5.基金项目
National Natural Science Foundation of China (61300204) （61300204）
