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 Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2022, Volume 206,Pages <nobr>3

On smoothing the operator coefficient of a first-order differential operator in a Banach space

A. G. Baskakov^ab, I. A. Krishtal^c, N. B. Uskova^b

^a North Ossetian State University after Kosta Levanovich Khetagurov, Vladikavkaz
^b Voronezh State University
^c Northern Illinois University

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.

UDC: 517.9

MSC: 47A75, 47B25, 47B36

DOI: 10.36535/0233-6723-2022-206-3-14