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Small weighted Bergman spaces

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arxiv 1507.07182 v1 pith:MIJ6JAOE submitted 2015-07-26 math.CV math.FA

José Ángel Peláez This is my paper · ORCID
classification math.CVmath.FA
keywords omegaspacesbergmanweightedanalysisarvicomplexcourse
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abstract

This paper is based on the course \lq\lq Weighted Hardy-Bergman spaces\rq\rq\, I delivered in the Summer School \lq\lq Complex and Harmonic Analysis and Related Topics\rq\rq at the Mekrij\"arvi research station of University of Eastern Finland, June $2014$. The main purpose of this survey is to present recent progress on the theory of Bergman spaces $A^p_\omega$, induced by radial weights $\omega$ satisfying the doubling property $\int_r^1\omega(s)\,ds\le C\int_{\frac{1+r}{2}}^1\omega(s)\,ds$.

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