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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 364–372
DOI: https://doi.org/10.17377/smzh.2016.57.211 (Mi smj2750) 		 
This article is cited in 11 scientific papers (total in 11 papers)

New metric characteristics of nonrectifiable curves and their applications

D. B. Kats

Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (458 kB) Citations (11)
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DOI: https://doi.org/10.17377/smzh.2016.57.211
Abstract: We introduce new metric characteristics for nonrectifiable curves. They admit applications to the theory of boundary value problems for analytic functions. Using these characteristics, we in particular obtain some sharper conditions than those available for the solvability of the jump problem and the Riemann problem in domains with nonrectifiable boundaries.
Keywords: nonrectifiable curve, metric characteristic, jump problem, Riemann problem.
Received: 10.03.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 285–291
DOI: https://doi.org/10.1134/S0037446616020117
Bibliographic databases:
Document Type: Article
UDC: 517.53/55
Language: Russian
Citation: D. B. Kats, “New metric characteristics of nonrectifiable curves and their applications”, Sibirsk. Mat. Zh., 57:2 (2016), 364–372; Siberian Math. J., 57:2 (2016), 285–291
Citation in format AMSBIB
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    • This publication is cited in the following 11 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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    Abstract page:363
    Full-text PDF :70
    References:54
    First page:4
     
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