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Unique extremality of quasiconformal mappings

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Abstract

In this paper, we study the conditions under which unique extremality of quasiconformal mappings occurs and provide a broader point of view of this phenomenon. Additional information is obtained by means of specialized constructions. In particular, we generalize the construction theorem in [BLMM], thus providing a more basic understanding of it. We also generalize the notion of unique extremality and give an analytic characterization of the generalized concept.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Belgrade, Studentski TRG 16, Belgrade, Yugoslavia

    M. Mateljević

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  1. M. Mateljević
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Correspondence to M. Mateljević.

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Research partially supported by MNTRS, Serbia, Grant No. 144 020

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Mateljević, M. Unique extremality of quasiconformal mappings. J Anal Math 107, 39–63 (2009). https://doi.org/10.1007/s11854-009-0002-7

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  • DOI: https://doi.org/10.1007/s11854-009-0002-7

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