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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 324–340 (Mi smj2536)  
This article is cited in 6 scientific papers (total in 6 papers)

Representations of the “second kind” for the hardy classes of solutions to the Beltrami equation

S. B. Klimentovab

a Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia
b Southern Federal University, Rostov-on-Don, Russia
Full-text PDF (366 kB) Citations (6)
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Abstract: We give examples of the absence of representations of the “second kind” for a Beltrami equation. Some sufficient conditions are proposed for the existence of these representations. We specify the regularity “up to the boundary” of a quasiconformal homeomorphism of the unit circle onto itself in the case of a regular complex characteristic.
Keywords: Beltrami equation, Hardy class, representation of the second kind.
Received: 29.06.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 2, Pages 262–275
DOI: https://doi.org/10.1134/S0037446614020098
Bibliographic databases:
Document Type: Article
UDC: 517.518.234+517.548.3
Language: Russian
Citation: S. B. Klimentov, “Representations of the “second kind” for the hardy classes of solutions to the Beltrami equation”, Sibirsk. Mat. Zh., 55:2 (2014), 324–340; Siberian Math. J., 55:2 (2014), 262–275
Citation in format AMSBIB
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\pages 324--340
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    • This publication is cited in the following 6 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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    References:96
    First page:25
     
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