English

A remark on a generalized Suita conjecture for finite points case

Complex Variables 2025-06-02 v2

Abstract

In this article, we use a class of harmonic functions (maybe multi-valued) to study the equality part in a weighted version of Suita conjecture for higher derivatives and finite points case, and we obtain some sufficient and necessary conditions for the equality part to hold when the harmonic part uu of the weight is trivial.

Keywords

Cite

@article{arxiv.2412.08118,
  title  = {A remark on a generalized Suita conjecture for finite points case},
  author = {Qi'an Guan and Xun Sun and Zheng Yuan},
  journal= {arXiv preprint arXiv:2412.08118},
  year   = {2025}
}

Comments

22 pages. All comments are welcome!