E. Bakhtigareeva, “Optimal Banach function space for a given cone of decreasing functions in a weighted <nobr>$L_p$</nobr>-space”, Eurasian Math. J., 2015, Volume 6, Number 1,Pages <nobr>6

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Optimal Banach function space for a given cone of decreasing functions in a weighted $L_p$-space

E. Bakhtigareeva

Department of Nonlinear Analysis and Optimisation, Peoples' Friendship University of Russia, 3 Ordzhonikidze St., 115419 Moscow, Russia

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.

Keywords and phrases: Banach function space, optimal embedding, cone of decreasing functions, associate norm, discretization, weighted inequalities.

MSC: 46E30, 42A16

Received: 28.09.2014

Language: English