OPTIMAL BANACH FUNCTION SPACE FOR A GIVEN CONE OF DECREASING FUNCTIONS IN A WEIGHTED L-p - 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.

Authors
Bakhtigareeva E.
Publisher
Eurasian Mathematical Journal
Number of issue
1
Language
English
Pages
6-25
Status
Published
Volume
6
Year
2015
Keywords
Banach function space; optimal embedding; cone of decreasing functions; associate norm; discretization; weighted inequalities
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