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Trudy Mat. Inst. Steklova, 2016, Volume 293, Pages 43–61
(Mi tm3703)
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This article is cited in 5 scientific papers (total in 5 papers)
Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties
E. G. Bakhtigareeva, M. L. Goldman
Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
We study the problem of constructing a minimal quasi-Banach ideal space containing a given cone of nonnegative functions with monotonicity properties. The construction employs nondegenerate operators. We present general results on constructing optimal envelopes consistent with an order relation and obtain specifications of these constructions for various cones and various order relations. We also address the issue of order covering and order equivalence of cones.
| Funding Agency |
Grant Number |
Russian Science Foundation  |
14-11-00443 |
| This work is supported by the Russian Science Foundation under grant 14-11-00443. |
DOI:
https://doi.org/10.1134/S0371968516020035
 Full text:
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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 293, 37–55
Bibliographic databases:
   
UDC:
517.51
Received: November 4, 2015
Citation:
E. G. Bakhtigareeva, M. L. Goldman, “Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties”, Function spaces, approximation theory, and related problems of mathematical analysis, Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 293, MAIK Nauka/Interperiodica, Moscow, 2016, 43–61; Proc. Steklov Inst. Math., 293 (2016), 37–55
Citation in format AMSBIB
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\paper Construction of an optimal envelope for a~cone of nonnegative functions with monotonicity properties
\inbook Function spaces, approximation theory, and related problems of mathematical analysis
\bookinfo Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii
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\vol 293
\pages 43--61
\publ MAIK Nauka/Interperiodica
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Linking options:
http://mi.mathnet.ru/eng/tm3703https://doi.org/10.1134/S0371968516020035 http://mi.mathnet.ru/eng/tm/v293/p43
Citing articles on Google Scholar:
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Russian articles,
English articles
This publication is cited in the following articles:
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Goldman M., Bakhtigareeva E., “Application of General Approach to the Theory of Morrey-Type Spaces”, Math. Meth. Appl. Sci.
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N. A. Bokayev, M. L. Goldman, G. Zh. Karshygina, “Some integral estimates on the cones of functions with the monotonicity conditions”, Bull. Karaganda Univ. Math., 90:2 (2018), 80–87
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N. A. Bokaev, M. L. Gol'dman, G. Zh. Karshygina, “Cones of Functions with Monotonicity Conditions for Generalized Bessel and Riesz Potentials”, Math. Notes, 104:3 (2018), 348–363
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M. L. Goldman, E. G. Bakhtigareeva, “Some classes of operators in general Morrey-type spaces”, Eurasian Math. J., 11:4 (2020), 35–44
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E. G. Bakhtigareeva, M. L. Goldman, “O vychislenii normy monotonnogo operatora v idealnykh prostranstvakh”, Posvyaschaetsya 70-letiyu prezidenta RUDN V.M. Filippova, SMFN, 67, no. 3, Rossiiskii universitet druzhby narodov, M., 2021, 455–471
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