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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 5, Pages 1018–1035 (Mi smj1402)  
This article is cited in 20 scientific papers (total in 20 papers)

Uniform domains and $NTA$-domains in Carnot groups

A. V. Greshnov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (304 kB) Citations (20)
Abstract: We construct examples of unbounded uniform domains in Carnot groups. We prove that some Euclidean cubes on the Heisenberg groups are $NTA$-domains and that there exist bounded $NTA$-domains which do not satisfy the interior homogeneous cone condition.
Received: 15.01.2000
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 5, Pages 851–864
DOI: https://doi.org/10.1023/A:1011955308660
Bibliographic databases:
UDC: 517.518.23+517.548.2
Language: Russian
Citation: A. V. Greshnov, “Uniform domains and $NTA$-domains in Carnot groups”, Sibirsk. Mat. Zh., 42:5 (2001), 1018–1035; Siberian Math. J., 42:5 (2001), 851–864
Citation in format AMSBIB
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\by A.~V.~Greshnov
\paper Uniform domains and $NTA$-domains in Carnot groups
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 5
\pages 1018--1035
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1861631}
\zmath{https://zbmath.org/?q=an:1015.30009}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 5
\pages 851--864
\crossref{https://doi.org/10.1023/A:1011955308660}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172156900005}
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  • https://www.mathnet.ru/eng/smj/v42/i5/p1018
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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