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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 9, Pages 59–63 (Mi ivm8828)  
This article is cited in 9 scientific papers (total in 9 papers)

Brief communications

Families of domains with best possible Hardy constant

F. G. Avkhadiev

Chair of Function Theory and Applications, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (190 kB) Citations (9)
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Abstract: We geometrically describe families of non-convex plane and space domains in which the basic Hardy inequality is valid with the constant $1/4$. In our constructions we used some new constants depending on the dimension and determined as roots of Lamb type equations and a constant defined by E. B. Davies.
Keywords: Hardy inequalities, distance function, nonconvex domains, modules of rings.
Received: 13.03.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 9, Pages 49–52
DOI: https://doi.org/10.3103/S1066369X13090077
Bibliographic databases:
Document Type: Article
UDC: 517.5+517.956
Language: Russian
Citation: F. G. Avkhadiev, “Families of domains with best possible Hardy constant”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 9, 59–63; Russian Math. (Iz. VUZ), 57:9 (2013), 49–52
Citation in format AMSBIB
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\by F.~G.~Avkhadiev
\paper Families of domains with best possible Hardy constant
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 9
\pages 59--63
\mathnet{http://mi.mathnet.ru/ivm8828}
\zmath{https://zbmath.org/?q=an:06269886}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 9
\pages 49--52
\crossref{https://doi.org/10.3103/S1066369X13090077}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894177274}
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    • This publication is cited in the following 9 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:74
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