Optimal banach function space for a given cone of decreasing functions in a weighted Lp - space

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.

Publisher
Eurasian Mathematical Journal
Issue number
1
Language
English
Pages
6-25
State
Published
Volume
6
Year
2015
Organizations
  • 1 Department of Nonlinear Analysis and Optimisation, Peoples' Friendship University of Russia, 3 Ordzhonikidze St., Moscow, 115419, Russian Federation
Keywords
Associate norm; Banach function space; Cone of decreasing functions; Discretization; Optimal embedding; weighted inequalities
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