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Funktsional'nyi Analiz i ego Prilozheniya, 2018, Volume 52, Issue 2, Pages 66–71
DOI: https://doi.org/10.4213/faa3471 (Mi faa3471) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

Exact Calculation of Sums of Cones in Lorentz Spaces

E. I. Berezhnoi

Yaroslavl State University, Yaroslavl, Russia
Full-text PDF (145 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa3471
Abstract: A method for exactly calculating norm on the sum of the cones of nonincreasing or concave functions in Lorentz spaces is proposed. The obtained result makes it possible to prove new extrapolation theorems for cones in Lorentz, Lebesgue, and Marcinkiewicz spaces with exact constants.
Keywords: sum of cones in Lorentz space, extrapolation theorem.
Received: 26.04.2017
Accepted: 12.12.2017
English version:
Functional Analysis and Its Applications, 2018, Volume 52, Issue 2, Pages 134–138
DOI: https://doi.org/10.1007/s10688-018-0218-3
Bibliographic databases:
Document Type: Article
UDC: 513.88+517.5
Language: Russian
Citation: E. I. Berezhnoi, “Exact Calculation of Sums of Cones in Lorentz Spaces”, Funktsional. Anal. i Prilozhen., 52:2 (2018), 66–71; Funct. Anal. Appl., 52:2 (2018), 134–138
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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