A Khavinson type conjecture for hyperbolic harmonic functions on the unit ball

Adel Khalfallah; Fathi Haggui; Miodrag Mateljević

doi:10.1016/j.jmaa.2022.126241

A Khavinson type conjecture for hyperbolic harmonic functions on the unit ball

Adel Khalfallah^*
, Fathi Haggui
, Miodrag Mateljević

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, we prove a Khavinson type conjecture for hyperbolic harmonic functions on the unit ball. This conjecture was partially solved in [5]. For harmonic functions, the conjecture was recently proved by Liu [14].

Original language	English
Article number	126241
Journal	Journal of Mathematical Analysis and Applications
Volume	513
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2022.126241
State	Published - 15 Sep 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier Inc.

Keywords

Hyperbolic harmonic functions
Khavinson conjecture
Schwarz lemma

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2022.126241

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title = "A Khavinson type conjecture for hyperbolic harmonic functions on the unit ball",

abstract = "In this paper, we prove a Khavinson type conjecture for hyperbolic harmonic functions on the unit ball. This conjecture was partially solved in [5]. For harmonic functions, the conjecture was recently proved by Liu [14].",

keywords = "Hyperbolic harmonic functions, Khavinson conjecture, Schwarz lemma",

author = "Adel Khalfallah and Fathi Haggui and Miodrag Mateljevi{\'c}",

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year = "2022",

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doi = "10.1016/j.jmaa.2022.126241",

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AU - Khalfallah, Adel

AU - Haggui, Fathi

AU - Mateljević, Miodrag

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Y1 - 2022/9/15

N2 - In this paper, we prove a Khavinson type conjecture for hyperbolic harmonic functions on the unit ball. This conjecture was partially solved in [5]. For harmonic functions, the conjecture was recently proved by Liu [14].

AB - In this paper, we prove a Khavinson type conjecture for hyperbolic harmonic functions on the unit ball. This conjecture was partially solved in [5]. For harmonic functions, the conjecture was recently proved by Liu [14].

KW - Hyperbolic harmonic functions

KW - Khavinson conjecture

KW - Schwarz lemma

UR - https://www.scopus.com/pages/publications/85128232534

U2 - 10.1016/j.jmaa.2022.126241

DO - 10.1016/j.jmaa.2022.126241

M3 - Article

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SN - 0022-247X

VL - 513

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 126241

ER -

A Khavinson type conjecture for hyperbolic harmonic functions on the unit ball

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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