A sharp Bernstein–type inequality and application to the Carleson embedding theorem with matrix weights
نویسندگان
چکیده
Abstract We prove a sharp Bernstein-type inequality for complex polynomials which are positive and satisfy polynomial growth condition on the real axis. This leads to an improved upper estimate in recent work of Culiuc Treil (Int. Math. Res. Not. 2019: 3301–3312, 2019) weighted martingale Carleson embedding theorem with matrix weights. In scalar case this new bound is optimal.
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ژورنال
عنوان ژورنال: Analysis and Mathematical Physics
سال: 2022
ISSN: ['1664-2368', '1664-235X']
DOI: https://doi.org/10.1007/s13324-021-00639-5