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.
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页码：4435 / 4446
页数：12
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