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A sharp Bernstein–type inequality and application to the Carleson embedding theorem with matrix weights
Please always quote using this URN: urn:nbn:de:bvb:20-opus-270485
- 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.
Author: | Daniela Kraus, Annika Moucha, Oliver Roth |
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URN: | urn:nbn:de:bvb:20-opus-270485 |
Document Type: | Journal article |
Faculties: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Language: | English |
Parent Title (English): | Analysis and Mathematical Physics |
ISSN: | 1664-235X |
Year of Completion: | 2022 |
Volume: | 12 |
Issue: | 1 |
Article Number: | 40 |
Source: | Analysis and Mathematical Physics 2022, 12(1):40. DOI: 10.1007/s13324-021-00639-5 |
DOI: | https://doi.org/10.1007/s13324-021-00639-5 |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 52 Astronomie / 520 Astronomie und zugeordnete Wissenschaften |
Tag: | Bernstein-type inequality; Carleson embedding theorem; complex polynomials |
Release Date: | 2022/06/23 |
Licence (German): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |