English

A proof of the generalized Khavinson conjecture

Analysis of PDEs 2019-09-04 v1 Classical Analysis and ODEs

Abstract

We give a complete proof of the generalized Khavinson conjecture which states that, for bounded harmonic functions on the unit ball of Rn\mathbb{R}^n, the sharp constants in the estimates for their radial derivatives and for their gradients coincide.

Keywords

Cite

@article{arxiv.1909.00635,
  title  = {A proof of the generalized Khavinson conjecture},
  author = {Congwen Liu},
  journal= {arXiv preprint arXiv:1909.00635},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-23T11:03:00.778Z