On the boundedness of Bergman projection. (English) Zbl 1371.30049
Martín-Reyes, Francisco Javier (ed.) et al., Proceedings of the 6th international school “Advanced courses of mathematical analysis VI”, Málaga, Spain, September 8–12, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-3147-63-8/hbk; 978-981-3147-65-2/ebook). 113-132 (2017).
Summary: The main purpose of this survey is to gather results on the boundedness of the Bergman projection. First, we shall go over some equivalent norms on weighted Bergman spaces \(A^p_\omega\) which are useful in the study of this question. In particular, we shall focus on a decomposition norm theorem for radial weights \(\omega\) with the doubling property \(\int_r^1 \omega(s)ds\leq C\int^1_{\frac{1+r}{2}}\omega(s)ds\).
For the entire collection see [Zbl 1357.00049].
For the entire collection see [Zbl 1357.00049].
MSC:
| 30H20 | Bergman spaces and Fock spaces |
| 30-02 | Research exposition (monographs, survey articles) pertaining to functions of a complex variable |
