Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings

Details Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings

2012-03-13

arxiv.org/abs/1203.2711v1

Mathematics

Complex Variables

10 pages; the article is with a journal

Scientific paper

In this paper, we investigate some properties of planar harmonic mappings.
First, we generalize the main results in \cite{CPW3} and \cite{HT}, and then
discuss the relationship between area integral means and harmonic Hardy spaces
or harmonic weighted Bergman spaces. At the end, coefficient estimates of
mappings in weighted Bergman spaces are obtained.

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