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Analytic criterion for linear convexity of Hartogs domains with smooth boundary in \( {\mathbb{H}^2} \)

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Ukrainian Mathematical Journal Aims and scope

We establish a criterion for the local linear convexity of sets in the two-dimensional quaternion space \( {\mathbb{H}^2} \) that are analogs of bounded Hartogs domains with smooth boundary in the two-dimensional complex space \( {\mathbb{C}^2} \).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    T. M. Osipchuk & M. V. Tkachuk

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  1. T. M. Osipchuk
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  2. M. V. Tkachuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 2, pp. 226–236, February, 2011.

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Osipchuk, T.M., Tkachuk, M.V. Analytic criterion for linear convexity of Hartogs domains with smooth boundary in \( {\mathbb{H}^2} \) . Ukr Math J 63, 266–277 (2011). https://doi.org/10.1007/s11253-011-0503-2

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  • DOI: https://doi.org/10.1007/s11253-011-0503-2

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