E. V. Arbuzov, “On properties of the Cauchy integral operator with oscillating kernel”, Sib. Èlektron. Mat. Izv., 10 (2013), C.3

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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages C.3–C.9 (Mi semr432)

Proceedings of conferences

On properties of the Cauchy integral operator with oscillating kernel

E. V. Arbuzov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

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Abstract: The Cauchy integral operator with oscillating kernel are considered on the space of functions represented by Riesz potentials. An estimate for their norm in the Lebesgue space is obtained. The estimate depends on negative power of the oscillation parameter.

Keywords: Cauchy integral operator, Riesz fractional derivatives.

Received February 1, 2013, published May 31, 2013

Document Type: Proceedings

UDC: 517.518.12

MSC: 31B10

Language: Russian

Citation: E. V. Arbuzov, “On properties of the Cauchy integral operator with oscillating kernel”, Sib. Èlektron. Mat. Izv., 10 (2013), C.3–C.9

Citation in format AMSBIB

\Bibitem{Arb13}

\by E.~V.~Arbuzov

\paper On properties of the Cauchy integral operator with oscillating kernel

\jour Sib. \`Elektron. Mat. Izv.

\yr 2013

\vol 10

\pages C.3--C.9

\mathnet{http://mi.mathnet.ru/semr432}

Linking options:

https://www.mathnet.ru/eng/semr432

https://www.mathnet.ru/eng/semr/v10/p3

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Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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