Two remarks on the Suita conjecture

• Autorzy: Nikolai Nikolov
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32U35: Pluricomplex Green functions
• 32F45: Invariant metrics and pseudodistances
• 32A25: Integral representations; canonical kernels (Szeg\H o, Bergman, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 113
• Numer: 1
• Strony: 61-63

Daty

wydano

2015

Twórcy

autor

Nikolai Nikolov

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

Identyfikatory

DOI

10.4064/ap113-1-3