Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 206, Pages 3–14
DOI: https://doi.org/10.36535/0233-6723-2022-206-3-14 (Mi into960) 		 
On smoothing the operator coefficient of a first-order differential operator in a Banach space

A. G. Baskakovab, I. A. Krishtalc, N. B. Uskovab

a North Ossetian State University after Kosta Levanovich Khetagurov, Vladikavkaz
b Voronezh State University
c Northern Illinois University
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DOI: https://doi.org/10.36535/0233-6723-2022-206-3-14
Abstract: In this paper, we consider a first-order differential operator acting in Lebesgue spaces. The method of similar operators allows one to reduce the operator considered to an operator with a more convenient potential.
Keywords: method of similar operators, first-order differential operator, Fourier coefficients, Lebesgue space.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00732
The work of the first and third authors was supported by the Russian Foundation for Basic Research (project No. 19-01-00732).
Document Type: Article
UDC: 517.9
MSC: 47A75, 47B25, 47B36
Language: Russian
Citation: A. G. Baskakov, I. A. Krishtal, N. B. Uskova, “On smoothing the operator coefficient of a first-order differential operator in a Banach space”, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 206, VINITI, Moscow, 2022, 3–14
Citation in format AMSBIB
\Bibitem{BasKriUsk22}
\by A.~G.~Baskakov, I.~A.~Krishtal, N.~B.~Uskova
\paper On smoothing the operator coefficient of a first-order differential operator in a Banach space
\inbook Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 206
\pages 3--14
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into960}
\crossref{https://doi.org/10.36535/0233-6723-2022-206-3-14}
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