Best Constants between Equivalent Norms in Lorentz Sequence Spaces

被引：3
|
作者：
Barza, S. [2 ]
Marcoci, A. N. [1 ]
Persson, L. E. [3 ]
机构：
[1] Tech Univ Civil Engn Bucharest, Dept Math & Comp Sci, Bucharest 020396, Romania
[2] Karlstad Univ, Dept Math, S-65188 Karlstad, Sweden
[3] Lulea Univ Technol, Dept Math, S-97187 Lulea, Sweden
来源：
JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年
关键词：
SHARP CONSTANTS; LEVEL FUNCTION;
D O I：
10.1155/2012/713534
中图分类号：
学科分类号：
摘要：
We find the best constants in inequalities relating the standard norm, the dual norm, and the norm parallel to x parallel to((p,s)) := inf{Sigma(k) parallel to x((k))parallel to(p,s)}, where the infimum is taken over all finite representations x = Sigma(k) x((k)) in the classical Lorentz sequence spaces. A crucial point in this analysis is the concept of level sequence, which we introduce and discuss. As an application, we derive the best constant in the triangle inequality for such spaces.
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页数：19
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