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arXiv · 2110.10730

A sharp Bernstein-type inequality and application to the Carleson embedding theorem with matrix weights

Daniela Kraus·Annika Moucha·Oliver Roth
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Abstract

We prove a sharp Bernstein-type inequality for complex polynomials which are positive and satisfy a polynomial growth condition on the positive real axis. This leads to an improved upper estimate in the recent work of Culiuc and Treil on the weighted martingale Carleson embedding theorem with matrix weights. In the scalar case this new upper bound is optimal.

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Daniela Kraus, Annika Moucha, Oliver Roth. 2021-10-20. A sharp Bernstein-type inequality and application to the Carleson embedding theorem with matrix weights. https://arxiv.org/abs/2110.10730

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