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Izvestiya: Mathematics, 2017, Volume 81, Issue 1, Pages 1–28
DOI: https://doi.org/10.1070/IM8379 (Mi im8379) 		 
This article is cited in 14 scientific papers (total in 14 papers)

A discrete version of local Morrey spaces

E. I. Berezhnoi

P. G. Demidov Yaroslavl State University, Faculty of Mathematics
English version PDF (373 kB) Citations (14)
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DOI: https://doi.org/10.1070/IM8379
Abstract: We describe a new class of spaces which contains the classical Morrey spaces. Using a new approach, we prove definitive versions of duality and interpolation theorems for these spaces. The results obtained here are also of interest for the classical Morrey spaces.
Keywords: general discrete Morrey spaces, dual spaces of Morrey spaces, interpolation of Morrey spaces.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00286
This work was supported by the Russian Foundation for Basic Research (grant no. 17-01-00286).
Received: 04.04.2015
Revised: 18.11.2015
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2017, Volume 81, Issue 1, Pages 3–30
DOI: https://doi.org/10.4213/im8379
Bibliographic databases:
Document Type: Article
UDC: 513.88
MSC: Primary 46B70; Secondary 46B10
Language: English
Original paper language: Russian
Citation: E. I. Berezhnoi, “A discrete version of local Morrey spaces”, Izv. RAN. Ser. Mat., 81:1 (2017), 3–30; Izv. Math., 81:1 (2017), 1–28
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM8379
  • https://www.mathnet.ru/eng/im/v81/i1/p3
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:561
    Russian version PDF:106
    English version PDF:36
    References:68
    First page:51
     
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