Schwarz–Pick Lemma for Harmonic and Hyperbolic Harmonic Functions

Adel Khalfallah; Miodrag Mateljević; Bojana Purtić

doi:10.1007/s00025-022-01686-5

Schwarz–Pick Lemma for Harmonic and Hyperbolic Harmonic Functions

Adel Khalfallah^*
, Miodrag Mateljević
, Bojana Purtić

^*Corresponding author for this work

Department of Mathematics

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

8 Scopus citations

Abstract

We establish some inequalities of Schwarz–Pick type for harmonic and hyperbolic harmonic functions on the unit ball of Rⁿ and we disprove a recent conjecture of Liu (Int Math Res Not, 2021).

Original language	English
Article number	167
Journal	Results in Mathematics
Volume	77
Issue number	4
DOIs	https://doi.org/10.1007/s00025-022-01686-5
State	Published - Aug 2022

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Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

ASJC Scopus subject areas

Mathematics (miscellaneous)
Applied Mathematics

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10.1007/s00025-022-01686-5

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title = "Schwarz–Pick Lemma for Harmonic and Hyperbolic Harmonic Functions",

abstract = "We establish some inequalities of Schwarz–Pick type for harmonic and hyperbolic harmonic functions on the unit ball of Rn and we disprove a recent conjecture of Liu (Int Math Res Not, 2021).",

author = "Adel Khalfallah and Miodrag Mateljevi{\'c} and Bojana Purti{\'c}",

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AU - Khalfallah, Adel

AU - Mateljević, Miodrag

AU - Purtić, Bojana

PY - 2022/8

Y1 - 2022/8

N2 - We establish some inequalities of Schwarz–Pick type for harmonic and hyperbolic harmonic functions on the unit ball of Rn and we disprove a recent conjecture of Liu (Int Math Res Not, 2021).

AB - We establish some inequalities of Schwarz–Pick type for harmonic and hyperbolic harmonic functions on the unit ball of Rn and we disprove a recent conjecture of Liu (Int Math Res Not, 2021).

UR - https://www.scopus.com/pages/publications/85133138801

U2 - 10.1007/s00025-022-01686-5

DO - 10.1007/s00025-022-01686-5

M3 - Article

AN - SCOPUS:85133138801

SN - 1422-6383

VL - 77

JO - Results in Mathematics

JF - Results in Mathematics

IS - 4

M1 - 167

ER -

Schwarz–Pick Lemma for Harmonic and Hyperbolic Harmonic Functions

Abstract

Bibliographical note

ASJC Scopus subject areas

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Cite this