V. I. Burenkov, D. J. Joseph, “Inequalities for trigonometric polynomials in periodic Morrey spaces”, Eurasian Math. J., 2024, том 15, номер 2,страницы 92

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Short communications

Inequalities for trigonometric polynomials in periodic Morrey spaces

V. I. Burenkov^ab, D. J. Joseph^c

^a V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 65 Profsoyuznaya St, 117997 Moscow, Russian Federation
^b V.A. Steklov Mathematical Institute, Russian Academy of Sciences, 42 Gubkin St, 117966 Moscow, Russian Federation
^c S.M. Nikol’skii Mathematical Institute, RUDN University, 6 Miklukho Maklay St, 117198 Moscow, Russian Federation

Аннотация: A detailed exposition of Bernstein’s inequality, inequalities of different metrics and of different dimensions for trigonometic polynomials in Lebesgue spaces is given in the book of S.M. Nikol'skii [4]. In this paper, we state analogues of these inequalities in peridoic Morrey spaces.

Ключевые слова и фразы: Morrey spaces, periodic Morrey spaces, Bernstein's inequality, inequalities of different metrics and of different dimensions.

MSC: 34A55, 34B05, 58C40

Поступила в редакцию: 06.06.2024

Язык публикации: английский

DOI: 10.32523/2077-9879-2024-15-2-92-100