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arXiv · 1501.03957

On the boundedness of Bergman projection

José Ángel Peláez·Jouni Rättyä
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Abstract

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 $A^p_ω$ which are useful in the study of this question. In particular, we shall focus on a decomposition norm theorem for radial weights~$ω$ with the doubling property $\int_{r}^1ω(s)\,ds\le C\int_{\frac{1+r}{2}}^1ω(s)\,ds$.

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José Ángel Peláez, Jouni Rättyä. 2015-01-16. On the boundedness of Bergman projection. https://arxiv.org/abs/1501.03957

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