English

Two remarks on the Suita conjecture

Complex Variables 2018-08-14 v1

Abstract

It is shown that the weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with C1+εC^{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.

Keywords

Cite

@article{arxiv.1411.6601,
  title  = {Two remarks on the Suita conjecture},
  author = {Nikolai Nikolov},
  journal= {arXiv preprint arXiv:1411.6601},
  year   = {2018}
}

Comments

Ann. Pol. Math. (to appear)

R2 v1 2026-06-22T07:10:29.376Z