Open Access
June 2013 Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings
Shaolin Chen, Saminathan Ponnusamy, Xiantao Wang
Kodai Math. J. 36(2): 313-324 (June 2013). DOI: 10.2996/kmj/1372337521

Abstract

In this paper, we investigate some properties of planar harmonic mappings. First, we generalize the main results in [2] and [10], 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.

Citation

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Shaolin Chen. Saminathan Ponnusamy. Xiantao Wang. "Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings." Kodai Math. J. 36 (2) 313 - 324, June 2013. https://doi.org/10.2996/kmj/1372337521

Information

Published: June 2013
First available in Project Euclid: 27 June 2013

zbMATH: 1277.30042
MathSciNet: MR3081250
Digital Object Identifier: 10.2996/kmj/1372337521

Rights: Copyright © 2013 Tokyo Institute of Technology, Department of Mathematics

Vol.36 • No. 2 • June 2013
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