TY  - JOUR
A1  - Kraus, Daniela
A1  - Moucha, Annika
A1  - Roth, Oliver
T1  - A sharp Bernstein–type inequality and application to the Carleson embedding theorem with matrix weights
JF  - Analysis and Mathematical Physics
N2  - 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 (Int. Math. Res. Not. 2019: 3301–3312, 2019) on the weighted martingale Carleson embedding theorem with matrix weights. In the scalar case this new upper bound is optimal.
KW  - Bernstein-type inequality
KW  - complex polynomials
KW  - Carleson embedding theorem
Y1  - 2022
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-270485
SN  - 1664-235X
VL  - 12
IS  - 1
ER  -