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On Grunsky norm of univalent functions

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Abstract

We establish an intrinsic lower bound for the Grunsky norm of univalent functions in the disk. This bound sheds light on the intrinsic geometric features of complex analysis and of Teichmüllerv space theory.

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Authors and Affiliations

  1. Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel

    Samuel L. Krushkal

  2. Department of Mathematics, University of Virginia, Charlottesville, USA

    Samuel L. Krushkal

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  1. Samuel L. Krushkal
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Correspondence to Samuel L. Krushkal.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 20, No. 1, pp. 73-86, January-March, 2023.

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Krushkal, S.L. On Grunsky norm of univalent functions. J Math Sci 273, 387–397 (2023). https://doi.org/10.1007/s10958-023-06505-y

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