Frostman shifts of inner functions

DOI10.1007/BF02787765zbMath1064.30029MaRDI QIDQ1884397

Raymond Mortini, Artur Nicolau

Publication date: 1 November 2004

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Carleson measureinner functionporous setsingular inner functionFrostman shiftCarleson-Newman Blaschke productHoffman map

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items

Singular inner functions whose Frostman shifts are Carleson–Newman Blaschke products II, Weak embedding property, inner functions and entropy, Two new characterizations of Carleson-Newman Blaschke products, Closed-range composition operators on \({\mathbb{A}^2}\) and the Bloch space, Cauchy-de Branges spaces, geometry of their reproducing kernels and multiplication operators, Uniform approximation by indestructible Blaschke products, The covering dimension of a distinguished subset of the spectrum \(M(H^\infty)\) of \(H^\infty\) and the algebra of real-symmetric and continuous functions on \(M(H^\infty)\), An observation about Frostman shifts, A new class of inner functions uniformly approximable by interpolating Blaschke products, Radial limits of interpolating Blaschke products, Singular inner functions whose Frostman shifts are Carleson–Newman Blaschke products, Möbius transformations and Blaschke products: the geometric connection, The Bass and topological stable ranks of and, A characterization of one‐component inner functions, Cluster sets of interpolating Blaschke products

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Division in \(H^\infty +C\)
• Bounded functions in the little Bloch space
• Blaschke products satisfying the Carleson-Newman conditions and ideals of the algebra \(H^{\infty}\)
• Inner functions: noninvariant connected components
• Support sets and Gleason parts
• Interpolating Blaschke products and factorization in Douglas algebras
• Interpolating Blaschke products and the left spectrum of multiplication operators on the Bergman space
• Omitted values of singular inner functions
• Discrete Carleson measures and some interpolation problems
• Composition operators and classical function theory
• Composition of inner functions
• On the boundary behavior of singular inner functions
• Commuting inner functions
• Bounded analytic functions and Gleason parts
• An Interpolation Problem for Bounded Analytic Functions
• Almost Isometric Maps of the Hyperbolic Plane
• Finite Products of Interpolating Blaschke Products
• Blaschke Products of Sundberg-Wolff Type
• Interpolating blaschke products of type G
• Some Lemmas on Interpolating Blaschke Products and a Correction
• The Radial Images of Blaschke Products