On Bernstein type quantitative estimates for Ornstein non-inequalities

  • Krystian Kazaniecki

    Johannes Kepler University Linz, Austria; University of Warsaw, Poland
  • Michal Wojciechowski

    Polish Academy of Sciences, Warsaw, Poland
On Bernstein type quantitative estimates for Ornstein non-inequalities cover
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Abstract

For the sequence of multi-indices and , we study the inequality

where is a trigonometric polynomial of degree at most on the -dimensional torus. Assuming some natural geometric property of the set , we show that

where depends only on the set .

Cite this article

Krystian Kazaniecki, Michal Wojciechowski, On Bernstein type quantitative estimates for Ornstein non-inequalities. Rev. Mat. Iberoam. (2023), published online first

DOI 10.4171/RMI/1441