Boundary Schwarz lemma for pluriharmonic mappings between unit balls
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Publication:497766
DOI10.1016/J.JMAA.2015.08.008zbMath1325.31003OpenAlexW1130300046WikidataQ124814640 ScholiaQ124814640MaRDI QIDQ497766
Shaoyu Dai, Yifei Pan, Yang Liu
Publication date: 25 September 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.008
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Pluriharmonic and plurisubharmonic functions (31C10) Other generalizations of function theory of one complex variable (32A30)
Related Items (15)
A Schwarz lemma at the boundary of Hilbert balls ⋮ A Schwarz lemma at the boundary using the Julia-Wolff-Carathéodory type condition on finite dimensional irreducible bounded symmetric domains ⋮ A Schwarz lemma for harmonic functions in the real unit ball ⋮ Schwarz lemma at the boundary on the classical domain of type \(\mathcal{II}\) ⋮ Schwarz lemma and boundary Schwarz lemma for pluriharmonic mappings ⋮ A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings ⋮ Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball ⋮ A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains ⋮ Schwarz lemma at the boundary for holomorphic and pluriharmonic mappings between \(p\)-unit balls ⋮ A boundary Schwarz lemma for holomorphic mappings on the polydisc ⋮ Boundary Schwarz lemma for nonequidimensional holomorphic mappings and its application ⋮ A boundary Schwarz lemma for pluriharmonic mappings from the unit polydisk to the unit ball ⋮ A boundary Schwarz lemma for pluriharmonic mappings between the unit polydiscs of any dimensions ⋮ Boundary Schwarz lemma for holomorphic functions ⋮ A Harnack inequality on the boundary of the unit ball
Cites Work
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- Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications
- Schwarz lemma at the boundary of the unit polydisk in \(\mathbb C^n\)
- Schwarz-Pick estimates for holomorphic mappings from the polydisk to the unit ball
- The high order Schwarz-Pick lemma on complex Hilbert balls
- On one-to-one harmonic mappings
- The Schwarz lemma at the boundary
- Note on Schwarz-Pick estimates for bounded and positive real part analytic functions
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