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 firstDOI 10.4171/RMI/1441