Optimal Banach Function Space for a Given Cone of Decreasing Functions in a Weighted \( L_p \)-Space

Elza Bakhtigareeva

Optimal Banach Function Space for a Given Cone of Decreasing Functions in a Weighted \( L_p \)-Space

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Authors

Elza Bakhtigareeva

Keywords:

Banach function space, optimal embedding, cone of decreasing functions, associate norm, discretization, weighted inequalities

Abstract

The problem is considered of constructing optimal (i.e. minimal) generalized Banach function space or optimal Banach function space, containing the given cone of nonnegative, decreasing functions in a weighted Lebesgue space.

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Published

2015-03-30

How to Cite

Bakhtigareeva, E. (2015). Optimal Banach Function Space for a Given Cone of Decreasing Functions in a Weighted \( L_p \)-Space. Eurasian Mathematical Journal, 6(1), 6–25. Retrieved from https://emj.enu.kz/index.php/main/article/view/594