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Sbornik: Mathematics, 2003, Volume 194, Issue 6, Pages 919–926
DOI: https://doi.org/10.1070/SM2003v194n06ABEH000745
(Mi sm745)
 

This article is cited in 4 scientific papers (total in 4 papers)

Relation between the Gurov–Reshetnyak and the Muckenhoupt function classes

A. A. Korenovskii

I. I. Mechnikov Odessa National University
References:
Abstract: In the one-dimensional case, for a function satisfying the Gurov–Reshetnyak condition, the infimum of the indices of the Muckenhoupt classes containing this function is found. It is also shown that each Muckenhoupt class lies in some Gurov–Reshetnyak class.
Received: 04.07.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 6, Pages 127–134
DOI: https://doi.org/10.4213/sm745
Bibliographic databases:
UDC: 517.5
MSC: 46E30
Language: English
Original paper language: Russian
Citation: A. A. Korenovskii, “Relation between the Gurov–Reshetnyak and the Muckenhoupt function classes”, Mat. Sb., 194:6 (2003), 127–134; Sb. Math., 194:6 (2003), 919–926
Citation in format AMSBIB
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\paper Relation between the~Gurov--Reshetnyak and the~Muckenhoupt function classes
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\pages 127--134
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\pages 919--926
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Linking options:
  • https://www.mathnet.ru/eng/sm745
  • https://doi.org/10.1070/SM2003v194n06ABEH000745
  • https://www.mathnet.ru/eng/sm/v194/i6/p127
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:375
    Russian version PDF:201
    English version PDF:10
    References:54
    First page:1
     
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