Schwarz–Pick Estimates of the Real Unit Ball for Harmonic Mappings

DOI10.1007/S11464-022-0058-6MaRDI QIDQ6489104

Tai Shun Liu, Jian Fei Wang, Unnamed Author

Publication date: 19 April 2024

Published in: Frontiers of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Cites Work

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• The generalized Schwarz-Pick estimates of arbitrary order on the unit polydisk
• Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications
• Solution to the Khavinson problem near the boundary of the unit ball
• Sharp pointwise estimates for directional derivatives of harmonic functions in a multidimensional ball
• The Schwarz-Pick lemma of high order in several variables
• A proof of the Khavinson conjecture
• A Schwarz lemma for harmonic functions in the real unit ball
• Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions
• A proof of the Khavinson conjecture in \(\mathbb{R}^3\)
• The Schwarz-Pick lemma and Julia lemma for real planar harmonic mappings
• An Extremal Problem for Harmonic Functions in the Ball
• Schwarz–Pick Lemma for Harmonic Functions
• A proof of Khavinson's conjecture in R4
• On harmonic functions and the Schwarz lemma

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