@article{KrausMouchaRoth2022,
  author    = {Kraus, Daniela and Moucha, Annika and Roth, Oliver},
  title     = {A sharp Bernstein-type inequality and application to the Carleson embedding theorem with matrix weights},
  series = {Analysis and Mathematical Physics},
  volume    = {12},
  journal   = {Analysis and Mathematical Physics},
  number    = {1},
  issn      = {1664-235X},
  doi       = {10.1007/s13324-021-00639-5},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-270485},
  year      = {2022},
  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 (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.},
  language  = {en}
}