Old and New Invariant Pseudo-Distances Defined by Pluriharmonic Functions

Adel Khalfallah

doi:10.1007/s11785-014-0381-3

Old and New Invariant Pseudo-Distances Defined by Pluriharmonic Functions

Adel Khalfallah^*

^*Corresponding author for this work

Department of Mathematics

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

3 Scopus citations

Abstract

We construct a new invariant pseudo-distance on a complex Banach manifold using the set of pluriharmonic functions with values in a proper open interval of R.

Original language	English
Pages (from-to)	113-119
Number of pages	7
Journal	Complex Analysis and Operator Theory
Volume	9
Issue number	1
DOIs	https://doi.org/10.1007/s11785-014-0381-3
State	Published - Jan 2014

Bibliographical note

Publisher Copyright:
© 2014, Springer Basel.

Keywords

Carathéodory–Kobayashi distances
Hyperbolic metric
Schwarz–Pick Lemma

ASJC Scopus subject areas

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s11785-014-0381-3

Cite this

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title = "Old and New Invariant Pseudo-Distances Defined by Pluriharmonic Functions",

abstract = "We construct a new invariant pseudo-distance on a complex Banach manifold using the set of pluriharmonic functions with values in a proper open interval of R.",

keywords = "Carath{\'e}odory–Kobayashi distances, Hyperbolic metric, Schwarz–Pick Lemma",

author = "Adel Khalfallah",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Basel.",

year = "2014",

month = jan,

doi = "10.1007/s11785-014-0381-3",

language = "English",

volume = "9",

pages = "113--119",

journal = "Complex Analysis and Operator Theory",

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T1 - Old and New Invariant Pseudo-Distances Defined by Pluriharmonic Functions

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N2 - We construct a new invariant pseudo-distance on a complex Banach manifold using the set of pluriharmonic functions with values in a proper open interval of R.

AB - We construct a new invariant pseudo-distance on a complex Banach manifold using the set of pluriharmonic functions with values in a proper open interval of R.

KW - Carathéodory–Kobayashi distances

KW - Hyperbolic metric

KW - Schwarz–Pick Lemma

UR - https://www.scopus.com/pages/publications/84939884151

U2 - 10.1007/s11785-014-0381-3

DO - 10.1007/s11785-014-0381-3

M3 - Article

AN - SCOPUS:84939884151

SN - 1661-8254

VL - 9

SP - 113

EP - 119

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

IS - 1

ER -

Old and New Invariant Pseudo-Distances Defined by Pluriharmonic Functions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this