A note on pluriharmonic functions in the unit polydisc in \(\mathbb{C}^n\)

DOI10.1007/s10476-022-0166-2OpenAlexW4283751962MaRDI QIDQ2678408

J. Gajić

Publication date: 23 January 2023

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-022-0166-2

zbMATH Keywords

pluriharmonic functionKobayashi distanceSchwarz-Pick lemma

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Pluriharmonic and plurisubharmonic functions (31C10)

Cites Work

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• Schwarz lemma for pluriharmonic functions
• Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk
• Schwarz lemma and Kobayashi metrics for harmonic and holomorphic functions
• Old and new invariant pseudo-distances defined by pluriharmonic functions
• Invariant gradient in refinements of Schwarz and Harnack inequalities
• Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings
• A Schwarz lemma on the polydisk
• Invariant distances and metrics in complex analysis

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