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Russian Mathematical Surveys, 1970, Volume 25, Issue 6, Pages 125–187
DOI: https://doi.org/10.1070/RM1970v025n06ABEH001270 (Mi rm5429) 		 
This article is cited in 33 scientific papers (total in 34 papers)

Resonance theorems and superlinear operators

E. M. Nikishin
English version PDF (2363 kB) Citations (34) Russian version article
DOI: https://doi.org/10.1070/RM1970v025n06ABEH001270
Abstract: This article is concerned with problems of the metrical theory of functions. We establish criteria for systems of measurable functions to be systems of convergence in measure, systems of convergence almost everywhere, etc. The exposition is based on a unified method, using superlinear operators.
Received: 16.02.1970
Bibliographic databases:
Document Type: Article
UDC: 517.43
MSC: 47B65, 28A20, 28A33, 42C20, 42A20
Language: English
Original paper language: Russian
Citation: E. M. Nikishin, “Resonance theorems and superlinear operators”, Russian Math. Surveys, 25:6 (1970), 125–187
Citation in format AMSBIB
\Bibitem{Nik70}
\by E.~M.~Nikishin
\paper Resonance theorems and superlinear operators
\jour Russian Math. Surveys
\yr 1970
\vol 25
\issue 6
\pages 125--187
\mathnet{http://mi.mathnet.ru//eng/rm5429}
\crossref{https://doi.org/10.1070/RM1970v025n06ABEH001270}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=296584}
\zmath{https://zbmath.org/?q=an:0222.47024|0226.47042}
Linking options:
  • https://www.mathnet.ru/eng/rm5429
  • https://doi.org/10.1070/RM1970v025n06ABEH001270
  • https://www.mathnet.ru/eng/rm/v25/i6/p129
    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:1161
    Russian version PDF:413
    English version PDF:39
    First page:1
     
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