| 用Besov空间刻画算子逼近的正、逆定理 |
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| 引用本文： | 张三敖,安海龙.用Besov空间刻画算子逼近的正、逆定理[J].宝鸡文理学院学报(自然科学版),2003,23(3):162-165. |
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| 作者姓名： | 张三敖 安海龙 |
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| 作者单位： | 宝鸡文理学院,数学系,陕西,宝鸡,721007 |
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| 基金项目： | 陕西省教育厅资助项目;00JK110; |
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| 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。
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| 关 键 词： | Besov空间 内插空间 插值算子 有界线性算子 |
| 文章编号： | 1007-1261(2003)03-0162-04 |
| 修稿时间： | 2003年3月24日 |
Characterization of the operator approximation theorem and its converse theorem in Besov space |
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| ZHANG San-ao,AN Hai-long.Characterization of the operator approximation theorem and its converse theorem in Besov space[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2003,23(3):162-165. |
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| Authors: | ZHANG San-ao AN Hai-long |
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| Abstract: | 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. |
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| Keywords: | Besov space interpolation space interpolation operator bounded linear operator |
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