期刊论文

Chen, Shaolin

英文

Journal of Functional Analysis

0022-1236

2022

282

1

109254

10.1016/j.jfa.2021.109254

We are grateful to the referee for her/his useful comments and suggestions. The first author (Mr. Shaolin Chen) was partly supported by NNSF of China under the number 12071116 , the Science and Technology Plan Project of Hunan Province (No. 2016TP1020 ), and the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469 ); The second author (Mr. Hidetaka Hamada) was partially supported by JSPS KAKENHI Grant Number JP19K03553 .

本校为第一且通讯机构

The purpose of this paper is to study the Schwarz-Pick type inequalities for harmonic or pluriharmonic functions. By analogy with the generalized Khavinson conjecture, we first give some sharp estimates of the norm of harmonic functions from the Euclidean unit ball in Rn into the unit ball of the real Minkowski space. Next, we give several sharp Schwarz-Pick type inequalities for pluriharmonic functions from the Euclidean unit ball in Cn or from the unit polydisc in Cn into the unit ball of the Minkowski space. Furthermore, we establish some sh...