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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 3, Pages 111–125 (Mi uzku1220)  

This article is cited in 1 scientific paper (total in 1 paper)

Accuracy of constants in logarithmic Hardy-type inequalities in open multidimensional domains

R. G. Nasibullin

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (233 kB) Citations (1)
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Abstract: Multidimensional Hardy-type inequalities in arbitrary domains of the Euclidean space are investigated. Accuracy of the constants is established in the case when the inner radius of the domain is finite, and the weight function contains degrees and the multiple logarithms of the function of the distance to the domain's boundary.
Keywords: Hardy-type inequalities, logarithmic singularity, accuracy of constants, distance function.
Received: 13.03.2013
Document Type: Article
UDC: 517.9
Language: Russian
Citation: R. G. Nasibullin, “Accuracy of constants in logarithmic Hardy-type inequalities in open multidimensional domains”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155, no. 3, Kazan University, Kazan, 2013, 111–125
Citation in format AMSBIB
\Bibitem{Nas13}
\by R.~G.~Nasibullin
\paper Accuracy of constants in logarithmic Hardy-type inequalities in open multidimensional domains
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2013
\vol 155
\issue 3
\pages 111--125
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1220}
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  • https://www.mathnet.ru/eng/uzku1220
  • https://www.mathnet.ru/eng/uzku/v155/i3/p111
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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    References:58
     
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