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Sbornik: Mathematics, 2003, Volume 194, Issue 1, Pages 63–88
DOI: https://doi.org/10.1070/SM2003v194n01ABEH000706 (Mi sm706) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Estimates of Green potentials. Applications

V. I. Danchenko

Vladimir State University
English version PDF (317 kB) Citations (8)
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DOI: https://doi.org/10.1070/SM2003v194n01ABEH000706
Abstract: Optimal Cartan-type covers by hyperbolic discs of carriers of Green $\alpha$-potentials are obtained in a simply connected domain in the complex plane and estimates of the potentials outside the carriers are presented. These results are applied to problems on the separation of singularities of analytic and harmonic functions. For instance, uniform and integral estimates in terms of Green capacities of components of meromorphic functions are obtained.
Received: 23.05.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 1, Pages 61–86
DOI: https://doi.org/10.4213/sm706
Bibliographic databases:
UDC: 517.53
MSC: 31A10, 31A99, 30D30
Language: English
Original paper language: Russian
Citation: V. I. Danchenko, “Estimates of Green potentials. Applications”, Mat. Sb., 194:1 (2003), 61–86; Sb. Math., 194:1 (2003), 63–88
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:599
    Russian version PDF:255
    English version PDF:7
    References:64
    First page:1
     
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