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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 3, Pages 111–125
(Mi uzku1220)
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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
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
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
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https://www.mathnet.ru/eng/uzku1220 https://www.mathnet.ru/eng/uzku/v155/i3/p111
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Abstract page: | 389 | Full-text PDF : | 73 | References: | 58 |
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