Bloch functions on bounded symmetric domains
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Publication:507417
DOI10.1016/j.jfa.2016.11.005zbMath1364.32004OpenAlexW2553575125MaRDI QIDQ507417
Tatsuhiro Honda, Hidetaka Hamada, Gabriela Kohr, Cho-Ho Chu
Publication date: 6 February 2017
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2016.11.005
Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Linear composition operators (47B33) Bloch functions, normal functions of several complex variables (32A18)
Related Items (21)
Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces ⋮ Weighted composition operators from \(H^\infty\) to \((\alpha, m)\)-Bloch space on Cartan-Hartogs domain of the first type ⋮ A Schwarz–Pick lemma for the norms of holomorphic mappings in Banach spaces ⋮ Bohr's inequality for holomorphic and pluriharmonic mappings with values in complex Hilbert spaces ⋮ Bloch space of a bounded symmetric domain and composition operators ⋮ Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space ⋮ Closed range composition operators on the Bloch space of bounded symmetric domains ⋮ Bloch-type spaces and extended Cesàro operators in the unit ball of a complex Banach space ⋮ Banach-valued Bloch-type functions on the unit ball of a Hilbert space and weak spaces of Bloch-type ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Weighted composition operators from the Bloch spaces to weighted Hardy spaces on bounded symmetric domains ⋮ \(\alpha\)-Bloch mappings on bounded symmetric domains in \(\mathbb C^n\) ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space of infinite dimensional bounded symmetric domains ⋮ Loewner chains, Bloch mappings and Pfaltzgraff-Suffridge extension operators on bounded symmetric domains ⋮ Representations for the Bloch type semi-norm of Fréchet differentiable mappings ⋮ Composition operators of Bloch-type spaces on bounded symmetric domains ⋮ Multiplication operators on the Bloch space of infinite dimensional bounded symmetric domains ⋮ Weighted composition operators between the Bloch type space and \(H^\infty (\mathbb {B}_X)\) of infinite dimensional bounded symmetric domains ⋮ Weighted space and Bloch-type space on the unit ball of an infinite dimensional complex Banach space ⋮ Bloch functions on the unit ball of a Banach space ⋮ Integration operators between Bloch type spaces and growth spaces on the unit ball of a complex Banach space
Cites Work
- Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains
- Compact composition operators on the Bloch space of the unit ball
- Trace-order and a distortion theorem for linearly invariant families on the unit ball of a finite dimensional JB\(^{\ast }\) -triple
- Weighted composition operators between \(\mu\)-Bloch spaces on the unit ball
- Distortion theorems for convex mappings on homogeneous balls
- A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
- Spectra of some composition operators
- Compactness of composition operators on the Bloch space in classical bounded symmetric domains.
- Weighted composition operators between Bloch-type spaces.
- Composition operators on the Bloch space of several complex variables
- Bloch functions on the unit ball of an infinite-dimensional Hilbert space
- Growth and distortion theorems for linearly invariant families on homogeneous unit balls in \(\mathbb C^n\)
- Pluriharmonic mappings in \(\mathbb{C}^n\) and complex Banach spaces
- Composition operators on \(\alpha\)-Bloch spaces of the unit ball
- Bloch Functions in Several Complex Variables, I
- Bloch functions in several complex variables. II.
- Generalized Bloch Mappings in Complex Hilbert Space
- Compact Composition Operators on the Bloch Space
- A NEW ESSENTIAL NORM ESTIMATE OF COMPOSITION OPERATORS FROM α-BLOCH SPACES INTO μ-BLOCH SPACES
- Holomorphic Mappings of the Hyperbolic Space into the Complex Euclidean Space and the Bloch Theorem
- Invariant distances and metrics in complex analysis
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