Two remarks on the Suita conjecture
Volume 113 / 2015
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.
