Heinz-Schwarz inequalities for harmonic mappings in the unit ball
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Publication:2790833
DOI10.5186/aasfm.2016.4126zbMath1346.31002OpenAlexW4248652415MaRDI QIDQ2790833
Publication date: 8 March 2016
Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5186/aasfm.2016.4126
Related Items (16)
General Heinz-Schwarz type inequalities for certain mappings in space ⋮ Schwarz-Pick lemma for harmonic and hyperbolic harmonic functions ⋮ Generalized harmonic functions and Schwarz lemma for biharmonic mappings ⋮ Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball ⋮ Schwarz-type lemma at the boundary for mappings satisfying non-homogeneous polyharmonic equations ⋮ The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings ⋮ Some inequalities for self-mappings of unit ball satisfying the invariant Laplacians ⋮ Some properties of a class of elliptic partial differential operators ⋮ Radó-Kneser-Choquet theorem for harmonic mappings between surfaces ⋮ Some properties of mappings admitting general Poisson representations ⋮ Schwarz-Pick type estimates for gradients of pluriharmonic mappings of the unit ball ⋮ The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations ⋮ Schwarz type lemmas and a Landau type theorem of functions satisfying the biharmonic equation ⋮ Schwarz-type lemma, Landau-type theorem, and Lipschitz-type space of solutions to inhomogeneous biharmonic equations ⋮ Schwarz lemmas for mappings satisfying Poisson's equation ⋮ The boundary Schwarz lemma for harmonic and pluriharmonic mappings and some generalizations
Cites Work
- Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications
- Some properties of a class of elliptic partial differential operators
- Sharp pointwise estimates for directional derivatives of harmonic functions in a multidimensional ball
- Harmonic quasiconformal self-mappings and Möbius transformations of the unit ball
- On one-to-one harmonic mappings
- An Extremal Problem for Harmonic Functions in the Ball
- On harmonic functions and the Schwarz lemma
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