Geodesic
On smoothing the operator coefficient of a first-order differential operator in a Banach space
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 3-14

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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
Mots-clés : Fourier coefficients, Lebesgue space. 
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     title = {On smoothing the operator coefficient of a first-order differential operator in a {Banach} space},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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A. G. Baskakov; I. A. Krishtal; N. B. Uskova. On smoothing the operator coefficient of a first-order differential operator in a Banach space. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 3-14. http://geodesic.mathdoc.fr/item/INTO_2022_206_a0/