Inner functions in the unit ball of \({\mathbb{C}}^ n\)

DOI10.1016/0022-1236(83)90062-9zbMath0554.32002OpenAlexW2057422864MaRDI QIDQ759866

Walter Rudin

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90062-9

zbMATH Keywords

ball algebrainner functions in the open unit ball of complex n-space

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Algebras of holomorphic functions of several complex variables (32A38)

Related Items

An F. and M. Riesz theorem for bounded symmetric domains ⋮ Fonctions intérieurs dans la boule unité de \({\mathbb C}^ n\) dont les fonctions traces sont aussi intérieurs. (Inner functions in the unit ball of \({\mathbb C}^ n\) where the trace functions are also inner functions) ⋮ Essential commutant of analytic Toeplitz operators ⋮ The Corona theorem for the ball and polydisc ⋮ Criteria for Toeplitz operators on the sphere ⋮ Singly generated invariant subspaces in the Hardy space on the unit ball ⋮ Derivatives of Hardy Functions ⋮ Computation of Nash equilibria: Admissibility of parallel gradient descent ⋮ Interpolation and inner maps that preserve measure ⋮ Gradients des fonctions intérieures dans la boule unité de \({\mathbb{C}}^ n\). (Gradients of inner functions in the unit ball of \({\mathbb{C}}^ n)\)

Cites Work

• A construction of inner functions on the unit ball in \(C^ p\)
• Fonctions holomorphes bornées sur la boule unite de \(C^ n\).
• Subspaces of \(L^p(G)\) spanned by characters: \(0<p<1\)
• Approximation by inner functions
• Blaschke products generate 𝐻^{∞}
• Inner Functions on the Polydisc
• Inner Functions and the Maximal Ideal Space of H ∞ (U n )
• Modification sets of density zero
• Modifications of Fourier Transforms
• A Small Boundary for H ∞ on the Polydisc
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item