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Two remarks on the Suita conjecture

Volume 113 / 2015

Nikolai Nikolov Annales Polonici Mathematici 113 (2015), 61-63 MSC: 32A25, 32F45, 32U35. DOI: 10.4064/ap113-1-3

Abstract

It is shown that the weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with $C^{1+\varepsilon }$-smooth boundary. On the other hand, it is proved that the weak converse to the Suita conjecture holds for any finitely connected planar domain.

Authors

  • Nikolai NikolovInstitute of Mathematics and Informatics
    Bulgarian Academy of Sciences
    Acad. G. Bonchev St., Block 8
    1113 Sofia, Bulgaria
    and
    Faculty of Information Sciences
    State University of Library Studies
    and Information Technologies
    69A, Shipchenski prohod St.
    1574 Sofia, Bulgaria
    e-mail

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