THE REPRODUCING KERNEL OF THE SOBOLEV SPACE ON AN INTERVAL

被引：1

作者：

Yamada, Akira ^{[1
]}

机构：

[1] 7-69 Kuwamizuhonmachi,Chuou Ku, Kumamoto, Kumamoto 8620955, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 10期

关键词：

INEQUALITY; CONSTANT;

D O I：

10.1090/proc/16452

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Hn(a, b) be the one-dimensional Sobolev Hilbert space of or-der n on the interval (a, b) (n = 1, 2, ... ). The explicit form of the repro-ducing kernel of Hn(a, b) on finite interval was already known in the case for n = 1,2,3. In this paper we obtain the explicit form of the reproducing kernel of Hn(a, b) on any interval for general n.

引用

页码：4435 / 4446

页数：12

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