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On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions

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Abstract

Optimal (minimal) Banach spaces containing given cones of monotone or quasiconcave functions on the semiaxis from weighted Lebesgue spaces are described. Exact formulas for the norm of the optimal space are presented. All cases of the summation parameter are studied.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Moscow, Russia

    V. D. Stepanov

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  1. V. D. Stepanov
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Correspondence to V. D. Stepanov.

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Original Russian Text © V. D. Stepanov, 2015, published in Matematicheskie Zametki, 2015, Vol. 98, No. 6, pp. 907–922.

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Stepanov, V.D. On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions. Math Notes 98, 957–970 (2015). https://doi.org/10.1134/S0001434615110280

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  • DOI: https://doi.org/10.1134/S0001434615110280

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