Best constants in multiplicative inequalities for sup-norms

被引：22

作者：

Ilyin, AA ^{[1
]}

机构：

[1] MV Keldysh Appl Math Inst, Moscow 125047, Russia

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1998年 / 58卷

关键词：

D O I：

10.1112/S002461079800653X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper finds best constants in a class of multiplicative inequalities with one-dimensional spatial variables \\f((k))\\(infinity) less than or equal to c(k, l) \\f\\((2l - 2k - 1)\2l)\\f((l))((2k + 1)/2l) -1/2 < k < l - 1/2 where f is a periodic function with zero mean value, and the norms in the right-hand side of the expression are the L-g-norms.

引用

页码：84 / 96

页数：13

共 6 条

[1]

[Anonymous], 1988, APPL MATH SCI

[2] A SIMPLE PROOF OF THE GENERALIZED LIEB-THIRRING INEQUALITIES IN ONE-SPACE DIMENSION [J].