Two remarks on the Suita conjecture
arXiv:1411.6601 · doi:10.4064/ap113-1-3
Abstract
It is shown that the weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with -smooth boundary. On the other hand, it is proved that the weak converse to the Suita conjecture holds for any finitely connected planar domain.
Ann. Pol. Math. (to appear)