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Weighted Hardy Spaces of Quasiconformal Mappings

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Abstract

We study the integral characterizations of weighted Hardy spaces of quasiconformal mappings on the n-dimensional unit ball using the weight \((1-r)^{n-2 + \alpha }\). We extend the known results for univalent functions on the unit disk. Some of our results are new even in the unweighted setting for quasiconformal mappings.

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Authors and Affiliations

  1. Brooklyn, USA

    Sita Benedict

  2. Department of Mathematics, University of Jyväskylä, P.O. Box 35, Jyväskylä, 40351, Finland

    Pekka Koskela

  3. School of Mathematics(Zhuhai), Sun Yat-Sen University, Zhuhai, 519082, China

    Xining Li

Authors
  1. Sita Benedict
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  2. Pekka Koskela
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  3. Xining Li
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Correspondence to Xining Li.

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Benedict, S., Koskela, P. & Li, X. Weighted Hardy Spaces of Quasiconformal Mappings. J Geom Anal 32, 97 (2022). https://doi.org/10.1007/s12220-021-00755-5

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  • DOI: https://doi.org/10.1007/s12220-021-00755-5

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