V. I. Burenkov, A. Senouci, “Equivalent semi-norms for Nikol'skii–Besov spaces”, Eurasian Math. J., 2023, Volume 14, Number 4,Pages <nobr>15–22</nobr>

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Eurasian Math. J., 2023 Volume 14, Number 4, Pages 15–22 (Mi emj481)

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Equivalent semi-norms for Nikol'skii–Besov spaces

V. I. Burenkov^ab, A. Senouci^c

^a V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 65 Profsoyuznaya St, 117997 Moscow, Russian Federation
^b S.M. Nikol’skii Mathematical Institute, RUDN University, 6 Miklukho Maklay St, 117198 Moscow, Russian Federation
^c Department of Mathematics, Laboratory of Informatics and Mathematics, University of Tiaret, Zaaroura 14000, Algeria

Abstract: The aim of this paper is to establish the equivalence of various semi-norms involving differences for Nikol'skii–Besov spaces on an interval.

Keywords and phrases: equivalent semi-norms, Nikol'skii–Besov spaces.

MSC: 35J20, 35J25

Received: 06.06.2023

Language: English

DOI: 10.32523/2077-9879-2023-14-4-15-22

© Steklov Math. Inst. of RAS, 2024