On comparison of linear differential operators of functions on circle, line, and half-line

R.M. Trigub (Donetsk National University)


We study the following problem: describe all linear differential operators with constant coefficients that are majorated by given operators of the same form.


Babenko V.F., Korneichuk N.P., Kofanov V.A., Pichugov S.A. Inequalities for derivatives and their applications, Naukova dumka, Kyiv, 2003; 590 p. (in Russian)

Besov O.V., Il'in V.P., Nikolskii S.M. Integral representations of functions and embedding theorems, 1996. (in Russian)

Trigub R.M., Belinsky E.S. Fourier Analysis and Approximation of functions, Kluwer-Springer, 2004; 585 p. doi:10.1007/978-1-4020-2876-2

Trigub R.M. "Fourier multipliers and K-functionals of spaces of smooth functions", Ukr. matem. visnyk, 2005; 2(2): pp. 236-280. (in Russian) mathjournals.org/UMB

Trigub R.M. "Fourier multipliers and sharp inequalities for differential operators", Izv. Tulskogo gos. un-ta. Ser. Matem. Mekhan. Inform., 2005; 11(1): pp. 219-228. (in Russian)

Trigub R.M. "On comparison of linear differential operators", Matem. zametki, 2007; 82(3): pp. 426-440. (in Russian) doi:10.1134/S0001434607090118

DOI: https://doi.org/10.15421/240720



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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991