Geodesic
Two remarks on the Suita conjecture
Nikolai Nikolov1
1 Institute 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
Annales Polonici Mathematici, Tome 113 (2015) no. 1, pp. 61-63 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap113-1-3
Keywords: shown weak multidimensional suita conjecture fails bounded non pseudoconvex domain varepsilon smooth boundary other proved weak converse suita conjecture holds finitely connected planar domain

Nikolai Nikolov 1

1 Institute 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 
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Nikolai Nikolov. Two remarks on the Suita conjecture. Annales Polonici Mathematici, Tome 113 (2015) no. 1, pp. 61-63. doi: 10.4064/ap113-1-3

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