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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Short communications
Inequalities for trigonometric polynomials in periodic Morrey spaces
V. I. Burenkovab, D. J. Josephc 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.
Поступила в редакцию: 06.06.2024
Образец цитирования:
V. I. Burenkov, D. J. Joseph, “Inequalities for trigonometric polynomials in periodic Morrey spaces”, Eurasian Math. J., 15:2 (2024), 92–100
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj504 https://www.mathnet.ru/rus/emj/v15/i2/p92
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