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Sbornik: Mathematics, 2017, Volume 208, Issue 6, Pages 902–914
DOI: https://doi.org/10.1070/SM8862 (Mi sm8862) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Volume growth of quasihyperbolic balls

Xiaohui-H. Zhanga, Riku Klénb, Ville Suomalac, Matti Vuorinenb

a Department of Mathematical Sciences, Zhejiang Sci-Tech University, Hangzhou, China
b Department of Mathematics and Statistics, University of Turku, Turku, Finland
c Department of Mathematical Sciences, University of Oulu, Finland
English version PDF (478 kB) Citations (4) Russian version article
References:
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DOI: https://doi.org/10.1070/SM8862
Abstract: The purpose of this paper is to study the notion of the quasihyperbolic volume and to find growth estimates for the quasihyperbolic volume of balls in a domain $G\subset{\mathbb R}^n$ in terms of their radii.
Bibliography: 23 titles.
Keywords: quasihyperbolic volume, uniform porosity, $Q$-regularity.
Funding agency Grant number
Academy of Finland 2600066611
The research of Matti Vuorinen was supported by the Academy of Finland (project 2600066611).
Received: 15.11.2016 and 28.03.2017
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 51M10, 51M25, 28A80
Language: English
Original paper language: Russian
Citation: Xiaohui-H. Zhang, Riku Klén, Ville Suomala, Matti Vuorinen, “Volume growth of quasihyperbolic balls”, Sb. Math., 208:6 (2017), 902–914
Citation in format AMSBIB
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\by Xiaohui-H.~Zhang, Riku Kl\'en, Ville Suomala, Matti Vuorinen
\paper Volume growth of quasihyperbolic balls
\jour Sb. Math.
\yr 2017
\vol 208
\issue 6
\pages 902--914
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  • https://doi.org/10.1070/SM8862
  • https://www.mathnet.ru/eng/sm/v208/i6/p170
    • 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 Sbornik: Mathematics
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    Abstract page:432
    Russian version PDF:39
    English version PDF:17
    References:50
    First page:18
     
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