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

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. © 2015, Pleiades Publishing, Ltd.

Authors
Number of issue
5-6
Language
English
Pages
957-970
Status
Published
Volume
98
Year
2015
Organizations
  • 1 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
cone of monotone functions; cone of quasiconcave functions; optimal (minimal) Banach space; Sinnamon’s lemma; weighted Lebesgue space
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/4488/
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