On some Schwarz type inequalities
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Publication:2069480
DOI10.1186/s13660-020-02433-6zbMath1503.30064OpenAlexW3034685862MaRDI QIDQ2069480
Adel Khalfallah, Miodrag S. Mateljević
Publication date: 20 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-020-02433-6
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Pluriharmonic and plurisubharmonic functions (31C10)
Related Items (10)
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 ⋮ The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings ⋮ Schwarz type lemmas for generalized harmonic functions ⋮ Some properties of mappings admitting general Poisson representations ⋮ The boundary Schwarz lemma for harmonic and pluriharmonic mappings and some generalizations ⋮ Unnamed Item ⋮ Boundary Schwarz lemma and rigidity property for holomorphic mappings of the unit polydisc in Cn ⋮ Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma
Cites Work
- The Schwarz-Pick lemma for planar harmonic mappings
- On one-to-one harmonic mappings
- Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk
- A Schwarz lemma for harmonic and hyperbolic-harmonic functions in higher dimensions
- Boundary Schwarz lemma for solutions to Poisson's equation
- Schwarz lemma and Kobayashi metrics for harmonic and holomorphic functions
- The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations
- Schwarz lemmas for mappings satisfying Poisson's equation
- Old and new invariant pseudo-distances defined by pluriharmonic functions
- Landau's theorem for p-harmonic mappings in several variables
- Schwarz lemma analogues for harmonic functions
- A sharp Schwarz inequality on the boundary
- LANDAU’S THEOREM FOR SOLUTIONS OF THE -EQUATION IN DIRICHLET-TYPE SPACES
- A refined Schwarz inequality on the boundary
- Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings
- Schwarz lemma and boundary Schwarz lemma for pluriharmonic mappings
- On harmonic functions and the Schwarz lemma
- Notions of convexity
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