Old and new invariant pseudo-distances defined by pluriharmonic functions

DOI10.1007/s11785-014-0381-3zbMath1306.32010OpenAlexW1990547097MaRDI QIDQ2514173

Adel Khalfallah

Publication date: 2 February 2015

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-014-0381-3

zbMATH Keywords

Banach manifoldpluriharmonic functionsinvariant pseudo-distance

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Infinite-dimensional holomorphy (46G20) Pluriharmonic and plurisubharmonic functions (31C10)

Related Items (6)

A note on pluriharmonic functions in the unit polydisc in \(\mathbb{C}^n\) ⋮ Schwarz lemma and Kobayashi metrics for harmonic and holomorphic functions ⋮ On some Schwarz type inequalities ⋮ Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings ⋮ Unnamed Item ⋮ Schwarz lemma and Kobayashi metrics for holomorphic functions

Cites Work

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• Harnack inequalities, Kobayashi distances and holomorphic motions
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• Analyticity in infinite dimensional spaces
• Invariant distances on complex manifolds and holomorphic mappings
• Harmonic Function Theory
• Extremal plurisubharmonic functions and invariant pseudodistances
• La métrique de Kobayashi et la représentation des domaines sur la boule
• On harmonic functions and the Schwarz lemma
• Invariant distances and metrics in complex analysis

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