English

A remark on a weighted version of Suita conjecture for higher derivatives

Complex Variables 2022-12-07 v1 Differential Geometry

Abstract

In this article, we consider the set of points for the holding of the equality in a weighted version of Suita conjecture for higher derivatives, and give relations between the set and the integer valued points of a class of harmonic functions (maybe multi-valued). For planar domains bounded by finite analytic closed curves, we give relations between the set and Dirichlet problem.

Keywords

Cite

@article{arxiv.2212.02713,
  title  = {A remark on a weighted version of Suita conjecture for higher derivatives},
  author = {Qi'an Guan and Xun Sun and Zheng Yuan},
  journal= {arXiv preprint arXiv:2212.02713},
  year   = {2022}
}

Comments

22 pages, all comments are welcome