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 |
|---|---|
| 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 |