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Two remarks on the Suita conjecture

Nikolai Nikolov (2015)

Annales Polonici Mathematici

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

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