Small weighted Bergman spaces

By J. A. Pel'aez. 2015

110 citations recorded by the source corpus.

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 $\int_r^1\omega(s)\,ds\le C\int_{\frac{1+r}{2}}^1\omega(s)\,ds$.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/cd963c0f0e844cad8d076276fdbf998cc36808f7

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In Applied Mathematics

1. Jouni Rattya
2. J. A. Pel'aez
3. Kian Sierra
4. Jordi Pau
5. O. Constantin

Citations in the corpus

• Embedding Bergman spaces into tent spaces (2015, background): “This type of integral operators have been extensively studied during the last decades and have interesting connections with other areas of mathematical analysis, see [12, 11] and the references therein.”