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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 22–25
DOI: https://doi.org/10.17377/semi.2017.14.03 (Mi semr759) 		 
Geometry and topology

Discrete sequences in unbounded domains

A. Saracco

Dipartimento di Matematica e Informatica, Università di Parma, Parco Area delle Scienze 53/A, I-43124 Parma, Italy
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DOI: https://doi.org/10.17377/semi.2017.14.03
Abstract: Discrete sequences with respect to the Kobayashi distance in a strongly pseudoconvex bounded domain $D$ are related to Carleson measures by a formula that uses the Euclidean distance from the boundary of $D$.
Thus the speed of escape at the boundary of such sequence has been studied in details for strongly pseudoconvex bounded domain $D$.
In this note we show that such estimations completely fail if the domain is not bounded.
Keywords: uniformly discrete sequences, unbounded domains.
Received September 4, 2014, published January 16, 2017
Bibliographic databases:
Document Type: Article
UDC: 514.7
MSC: 32Q45, 32T15, 52A20
Language: English
Citation: A. Saracco, “Discrete sequences in unbounded domains”, Sib. Èlektron. Mat. Izv., 14 (2017), 22–25
Citation in format AMSBIB
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\by A.~Saracco
\paper Discrete sequences in unbounded domains
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 22--25
\mathnet{http://mi.mathnet.ru/semr759}
\crossref{https://doi.org/10.17377/semi.2017.14.03}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407792200008}
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