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Matematicheskie Zametki, 2018, Volume 104, Issue 5, Pages 649–658
DOI: https://doi.org/10.4213/mzm11584 (Mi mzm11584) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Exact Calculation of Sums of the Lorentz Spaces $\Lambda^{\alpha}$ and Applications

E. I. Berezhnoi

P.G. Demidov Yaroslavl State University
Full-text PDF (470 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm11584
Abstract: The norm on the sum of Lorentz spaces endowed with norms equal to the products of the classical norm by some numbers is exactly calculated. The obtained result makes it possible to prove an extrapolation theorem for collections of Lorentz, Lebesgue, and Marcinkiewicz spaces with a sharp constant.
Keywords: sum of Lorentz spaces, extrapolation theorems.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-06005
This work was supported by the Russian Foundation for Basic Research under grant 18-51-06005.
Received: 16.03.2017
Revised: 03.09.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 5, Pages 628–635
DOI: https://doi.org/10.1134/S0001434618110020
Bibliographic databases:
Document Type: Article
UDC: 513.88+517.5
Language: Russian
Citation: E. I. Berezhnoi, “Exact Calculation of Sums of the Lorentz Spaces $\Lambda^{\alpha}$ and Applications”, Mat. Zametki, 104:5 (2018), 649–658; Math. Notes, 104:5 (2018), 628–635
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
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    		Математические заметки Mathematical Notes
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