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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 312, Pages 82–97
DOI: https://doi.org/10.4213/tm4126 (Mi tm4126) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Sharp Extrapolation Theorems for Local Morrey Spaces

E. I. Berezhnoi

Mathematics Faculty, P. G. Demidov Yaroslavl State University, ul. Soyuznaya 144, Yaroslavl, 150008 Russia
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DOI: https://doi.org/10.4213/tm4126
Abstract: We show that the calculation of the sum of local Morrey spaces can be reduced to the calculation of the sum of sequence spaces that appear as parameters in the definition of local Morrey spaces. The presence of such a reduction allows us to obtain new extrapolation theorems for local Morrey spaces with sharp constants.
Keywords: Banach ideal space, local Morrey spaces, sum and intersection of 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, project no. 18-51-06005.
Received: April 24, 2020
Revised: October 12, 2020
Accepted: October 22, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 312, Pages 76–90
DOI: https://doi.org/10.1134/S0081543821010041
Bibliographic databases:
Document Type: Article
UDC: 517.518.2
MSC: 46E30, 46B42, 46B70
Language: Russian
Citation: E. I. Berezhnoi, “Sharp Extrapolation Theorems for Local Morrey Spaces”, Function Spaces, Approximation Theory, and Related Problems of Analysis, Collected papers. In commemoration of the 115th anniversary of Academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 312, Steklov Math. Inst., Moscow, 2021, 82–97; Proc. Steklov Inst. Math., 312 (2021), 76–90
Citation in format AMSBIB
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\paper Sharp Extrapolation Theorems for Local Morrey Spaces
\inbook Function Spaces, Approximation Theory, and Related Problems of Analysis
\bookinfo Collected papers. In commemoration of the 115th anniversary of Academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 312
\pages 82--97
\publ Steklov Math. Inst.
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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