Schwarz type lemmas and their applications in Banach spaces

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Pluriharmonic and plurisubharmonic functions (31C10)

Cites Work

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Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains
A new boundary rigidity theorem for holomorphic self-mappings of the unit ball in \(\mathbb C ^n\)
Schwarz lemma at the boundary of strongly pseudoconvex domain in \(\mathbb C^n\)
Bloch functions on bounded symmetric domains
Radii of covering disks for locally univalent harmonic mappings
Trace-order and a distortion theorem for linearly invariant families on the unit ball of a finite dimensional JB\(^{\ast }\) -triple
The pointwise Fatou theorem and its converse for positive pluriharmonic functions
On one-to-one harmonic mappings
A Julia-Carathéodory theorem for hyperbolically monotone mappings in the Hilbert ball
Fonction de Green pluricomplexe et lemmes de Schwarz dans les espaces de Banach. (Pluricomplex Green functions and Schwarzian lemmata in Banach spaces)
Schwarz's lemma for circle packings
A generalization of Schwarz lemma
Conformal geometry and quasiregular mappings
On the size of balls covered by analytic transformations
The Bloch theorem in several complex variables
A preservation principle of extremal mappings near a strongly pseudoconvex point and its applications
Über die Blochsche Konstante und zwei verwandte Weltkonstanten.
A Schwarz lemma at the boundary using the Julia-Wolff-Carathéodory type condition on finite dimensional irreducible bounded symmetric domains
Covering properties of meromorphic functions, negative curvature and spherical geometry
A distortion theorem and the Bloch constant for Bloch mappings in \(\mathbb{C}^N\)
A proof of the Khavinson conjecture
A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings
Schwarz lemma and rigidity theorem at the boundary for holomorphic mappings on the unit polydisk in \(\mathbb{C}^n\)
Remarks on ```Norm estimates of the partial derivatives for harmonic mappings and harmonic quasiregular mappings
Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions
Bloch functions on the unit ball of an infinite-dimensional Hilbert space
Nonexistence of proper holomorphic maps between certain classical bounded symmetric domains
Pluriharmonic mappings in \(\mathbb{C}^n\) and complex Banach spaces
Schwarz-Pick type estimates for gradients of pluriharmonic mappings of the unit ball
Schwarz-type lemma, Landau-type theorem, and Lipschitz-type space of solutions to inhomogeneous biharmonic equations
Bloch constants in one and several variables
The Schwarz-Pick lemma and Julia lemma for real planar harmonic mappings
Lectures on \(n\)-dimensional quasiconformal mappings
An extension of Schwarz's lemma.
Über die Randverzerrung bei konformer Abbildung
Die Winkelderivierte und das Poisson-Stieltjes-Integral
Univalent mappings in serveral complex variables
Bloch constants in several variables
Holomorphic isometries of the complex unit ball into irreducible bounded symmetric domains
Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products
The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings
A Schwarz lemma for the modulus of a vector-valued analytic function
Two-point distortion theorems for harmonic and pluriharmonic mappings
Uniform Algebras Generated by Holomorphic and Pluriharmonic Functions
On Bloch's Constant
A rigidity theorem for holomorphic generators on the Hilbert ball
Local Boundary Behavior of Pluriharmonic Functions Along Curves
A General Schwarz Lemma for Kahler Manifolds
Distortion Theorems for Bloch Functions
Schwarz lemma analogues for harmonic functions
Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
A sharp Schwarz inequality on the boundary
A Schwarz–Pick lemma for the norms of holomorphic mappings in Banach spaces
A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
Schwarz lemma and boundary Schwarz lemma for pluriharmonic mappings
Distortion and covering theorems of pluriharmonic mappings
Bounded Symmetric Domains in Banach Spaces
The Schwarz Lemma: Rigidity and Dynamics
On harmonic functions and the Schwarz lemma
Normal families of holomorphic mappings
Dissipative holomorphic functions, Bloch radii, and the Schwarz lemma
A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains