Schwarz lemma for the solutions to the Dirichlet problems for the invariant Laplacians
From MaRDI portal
Publication:6629702
DOI10.1007/s40840-024-01769-2MaRDI QIDQ6629702
Publication date: 30 October 2024
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Cites Work
- Unnamed Item
- Weighted integrability of polyharmonic functions
- Differential operators for a scale of Poisson type kernels in the unit disc
- Schwarz lemma for harmonic mappings in the unit ball
- Exceptional sets for Poisson integrals of potentials on the unit sphere in \({\mathbb{C}}^ n\), \(p\leq l\)
- On one-to-one harmonic mappings
- Some results in \(H^ p\) theory for the Heisenberg group
- A Schwarz lemma for harmonic and hyperbolic-harmonic functions in higher dimensions
- \(L^2\)-concrete spectral analysis of the invariant Laplacian \(\Delta_{\alpha\beta}\) in the unit complex ball \(B^n\)
- On the integration of the partial differential equation \( \frac{\partial^2 u} {\partial x^2} + \frac{\partial^2 u}{\partial y^2}=0 \).
- On Lipschitz continuity of solutions of hyperbolic Poisson's equation
- Some properties of mappings admitting general Poisson representations
- Weighted integrability of polyharmonic functions in the higher-dimensional case
- The boundary Schwarz lemma for harmonic and pluriharmonic mappings and some generalizations
- Schwarz-Pick lemma for harmonic and hyperbolic harmonic functions
- A Bohr phenomenon for \(\alpha \)-harmonic functions
- Extremum problems in the theory of analytic functions
- Necessary and Sufficient Conditions for Differentiating under the Integral Sign
- Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
- On quasiconformal self-mappings of the unit disk satisfying Poisson’s equation
- Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
- A weighted Plancherel formula II. The case of the ball
- Spaces of Holomorphic Functions in the Unit Ball
- H^p-theory for generalized M-harmonic functions in the unit ball
- Boundary regularity in the Dirichlet problem for the invariant Laplacians $\Delta _\gamma $ on the unit real ball
- Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings
- Some coefficient estimates on real kernel 𝛼-harmonic mappings
- A Schwarz lemma for hyperbolic harmonic mappings in the unit ball
- Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball
- Generalized Helgason-Fourier transforms associated to variants of the Laplace-Beltrami operators on the unit ball in $\mathbb{R}^{n}$
- Isoperimetric type inequalities for mappings induced by weighted Laplace differential operators
This page was built for publication: Schwarz lemma for the solutions to the Dirichlet problems for the invariant Laplacians
