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Matematicheskie Zametki, 1997, Volume 62, Issue 3, Pages 430–439
DOI: https://doi.org/10.4213/mzm1625
(Mi mzm1625)
 

Criterion for uniform invertibility of families of strong approximations to one-dimensional singular integral operators with continuous coefficients

V. S. Pilidi

Rostov State University
References:
Abstract: A criterion is obtained for the applicability of the approximation method based on strongly approximating operator families converging to a one-dimensional singular integral operator with coefficients continuous in the circle. Some special cases are considered.
Received: 09.11.1995
Revised: 20.10.1996
English version:
Mathematical Notes, 1997, Volume 62, Issue 3, Pages 360–367
DOI: https://doi.org/10.1007/BF02360878
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. S. Pilidi, “Criterion for uniform invertibility of families of strong approximations to one-dimensional singular integral operators with continuous coefficients”, Mat. Zametki, 62:3 (1997), 430–439; Math. Notes, 62:3 (1997), 360–367
Citation in format AMSBIB
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\by V.~S.~Pilidi
\paper Criterion for uniform invertibility of families of strong approximations to one-dimensional singular integral operators with continuous coefficients
\jour Mat. Zametki
\yr 1997
\vol 62
\issue 3
\pages 430--439
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\crossref{https://doi.org/10.4213/mzm1625}
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\zmath{https://zbmath.org/?q=an:0915.45002}
\transl
\jour Math. Notes
\yr 1997
\vol 62
\issue 3
\pages 360--367
\crossref{https://doi.org/10.1007/BF02360878}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000072500900012}
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  • https://www.mathnet.ru/eng/mzm1625
  • https://doi.org/10.4213/mzm1625
  • https://www.mathnet.ru/eng/mzm/v62/i3/p430
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