INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS IN PERIODIC MORREY SPACES

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. © (2023), (L.N. Gumilyov Eurasian National University). All Rights Reserved.

Authors
Burenkov V.I. , Joseph D.J.
Journal
Eurasian Mathematical Journal
Publisher
Eurasian Mathematical Journal
Issue number
2
Language
English
Pages
92-100
State
Published
Link
External link
DOI
10.32523/2077-9879-2024-15-2-92-100
Volume
15
Year
2024
Organizations
  • 1 V.A. Steklov Mathematical Institute, Russian Academy of Sciences, 42 Gubkin St, Moscow, 117966, Russian Federation
  • 2 V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 65 Profsoyuznaya St, Moscow, 117997, Russian Federation
  • 3 S.M. Nikol’skii Mathematical Institute, RUDN University, 6 Miklukho Maklay St, Moscow, 117198, Russian Federation
Keywords
Bernstein’s inequality; inequalities of different metrics and of different dimensions; Morrey spaces; periodic Morrey spaces
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