Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 9, Pages 90–94 (Mi ivm7933)  
This article is cited in 17 scientific papers (total in 17 papers)

Brief communications

Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space

F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin

Chair of Function Theory and Approximations, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (181 kB) Citations (17)
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Abstract: We consider Hardy-type inequalities in domains of the Euclidean space for the case, when the weight depends on the distance function to the domain boundary and has power and logarithmic singularities. We prove several new inequalities with sharp constants.
Keywords: Hardy-type inequalities, distance function to the boundary, iterations of logarithms.
Received: 28.02.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 9, Pages 76–79
DOI: https://doi.org/10.3103/S1066369X1109009X
Bibliographic databases:
Document Type: Article
UDC: 517.5+517.956
Language: Russian
Citation: F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 9, 90–94; Russian Math. (Iz. VUZ), 55:9 (2011), 76–79
Citation in format AMSBIB
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\paper Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 9
\pages 90--94
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\transl
\jour Russian Math. (Iz. VUZ)
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\issue 9
\pages 76--79
\crossref{https://doi.org/10.3103/S1066369X1109009X}
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  • https://www.mathnet.ru/eng/ivm/y2011/i9/p90
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:175
    First page:127
     
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