Multivariable Bohr inequalities

DOI10.1090/S0002-9947-07-04170-0zbMath1128.47009arXivmath/0507156OpenAlexW2064345859MaRDI QIDQ3595019

Gelu Popescu

Publication date: 9 August 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507156

zbMATH Keywords

harmonic functionholomorphic functionvon Neumann inequalityPoisson transformmultivariable operator theoryBohr's inequalityFejér's inequalitynoncommutative disc algebranoncommutative analytic Toeplitz algebra

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20)

Related Items (25)

Operator theory on noncommutative polydomains. I. ⋮ Free holomorphic functions on the unit ball of \(B(\mathcal H)^n\). II ⋮ Bohr phenomena for Laplace-Beltrami operators ⋮ Bohr's inequalities for the analytic functions with lacunary series and harmonic functions ⋮ Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\) ⋮ Bohr's theorem for holomorphic mappings with values in homogeneous balls ⋮ Generalized Bohr radius for slice regular functions over quaternions ⋮ Bohr inequalities on noncommutative polydomains ⋮ On the Bohr Inequality ⋮ Estimates for generalized Bohr radii in one and higher dimensions ⋮ Bohr type inequality for Cesáro and Bernardi integral operator on simply connected domain ⋮ Sharp Bohr type inequality ⋮ Bohr inequality for odd analytic functions ⋮ Bohr’s Inequality for Harmonic Mappings and Beyond ⋮ The Bohr inequality in the hyperbolic plane ⋮ Bohr inequalities in some classes of analytic functions ⋮ Bohr inequalities for free holomorphic functions on polyballs ⋮ Bohr theorems for slice regular functions over octonions ⋮ Operator theory on noncommutative domains ⋮ Noncommutative transforms and free pluriharmonic functions ⋮ Bohr radius for certain classes of close-to-convex harmonic mappings ⋮ Some Bohr-type inequalities with one parameter for bounded analytic functions ⋮ Free holomorphic automorphisms of the unit ball of B(ℋ) n ⋮ Bohr phenomenon for operator-valued functions ⋮ Some generalizations of Bohr's theorem

Cites Work

• Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Poisson transforms on some \(C^*\)-algebras generated by isometries
• Similarity problems and completely bounded maps
• Functional calculus for noncommuting operators
• Multi-analytic operators on Fock spaces
• Noncommutative interpolation and Poisson transforms
• ON BOHR'S INEQUALITY
• EXTENSIONS OF BOHR'S INEQUALITY
• Unitary invariants in multivariable operator theory
• Sur un théorême de H. Bohr.
• The Numerical Radius of a Nilpotent Operator on a Hilbert Space
• Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
• Bohr’s power series theorem in several variables
• Positive-Defininte Functions on Free Semigroups
• Banach Algebras Satisfying the Non-Unital Von Neumann Inequality
• Non-commutative disc algebras and their representations
• Multidimensional analogues of Bohr’s theorem on power series
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
• Positive Functions on C ∗ -Algebras
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