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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 1, Pages 37–45 (Mi smj846)  
This article is cited in 6 scientific papers (total in 6 papers)

Singular integral operators with Cauchy kernel in fractional spaces

N. K. Bliev

Institute of Mathematics, Ministry of Education and Science of the Republic of Kazakhstan
Full-text PDF (189 kB) Citations (6)
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Abstract: We single out the Besov spaces that embed into the class of continuous functions and enjoy the Fredholm theory of linear singular integral equations with Cauchy kernel. We give basic results of this theory in the class of continuous (rather than Holder continuous) functions in terms of Besov spaces. Alongside elliptic operators we consider violations of ellipticity: the degeneration of the symbol of an operator at finitely many points.
Keywords: operator with Cauchy kernel, singular integral equation, Besov spaces, elliptic operator, projections, analytic continuation.
Received: 13.12.2004
Revised: 03.06.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 1, Pages 28–34
DOI: https://doi.org/10.1007/s11202-006-0003-z
Bibliographic databases:
UDC: 517.53
Language: Russian
Citation: N. K. Bliev, “Singular integral operators with Cauchy kernel in fractional spaces”, Sibirsk. Mat. Zh., 47:1 (2006), 37–45; Siberian Math. J., 47:1 (2006), 28–34
Citation in format AMSBIB
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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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