用Besov空间刻画算子逼近的正、逆定理  

Characterization of the operator approximation theorem and its converse theorem in Besov space

作　　者：张三敖[1] 安海龙[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721007

出　　处：《宝鸡文理学院学报（自然科学版）》2003年第3期162-165,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：陕西省教育厅专项基金(00JK110)

摘　　要：借助正整数α阶光滑模引入Holder范数,由此定义一种K-泛函并用K方法构造出一种Besov空间,用其对一类推广的三角插值算子的正、逆定理进行了刻画。A generalized K-functional is defined by Holder norm which is introduced by positive integer norm of second-order smoothness,a Besov space is constructed by K-method. Some theorems and its converse theorems of generalized triangle interpolation operator are described by this Besov space.

关 键 词：BESOV空间 内插空间 插值算子 有界线性算子 

分 类 号：I174.41[文学—世界文学]