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

R.M. Trigub (Donetsk National University)

Abstract


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

References


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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
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