On interpolating Blaschke products and Blaschke-oscillatory equations

DOI10.1007/s00365-010-9100-0zbMath1227.30041OpenAlexW1988817811MaRDI QIDQ634651

Janne Heittokangas

Publication date: 16 August 2011

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-010-9100-0

zbMATH Keywords

oscillation theoryBlaschke productlogarithmic derivativeprescribed zero sequenceuniformly separated sequenceinterpolating sequenceexponential sequenceBlaschke-oscillatory equationfrequency of zeros

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Interpolation between normed linear spaces (46B70) Moment problems and interpolation problems in the complex plane (30E05) Blaschke products (30J10)

Related Items (5)

Fixed points and solutions of boundary value problems at resonance ⋮ New findings on the Bank-Sauer approach in oscillation theory ⋮ Differential equations with solutions lying in the F(p, q, s) space ⋮ Converse growth estimates for ODEs with slowly growing solutions ⋮ A Survey on Blaschke-Oscillatory Differential Equations, with Updates

Cites Work

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• Solutions of \(f+A (z) f=0\) in the unit disc having Blaschke sequences as the zeros
• Integral means of the logarithmic derivative of Blaschke products
• Bounded functions in the little Bloch space
• A note on the zero-sequences of solutions of linear differential equations
• Nevanlinna theory and complex differential equations
• \(H^p\)-derivatives of Blaschke products
• Factorization theorems for functions in the Bergman spaces
• Mean growth of the derivative of a Blaschke product
• Integral means for the \(n\)'th derivative of Blaschke products.
• Blaschke-oscillatory equations of the form \(f+A(z)f=0\)
• Interpolating Blaschke products: Stolz and tangential approach regions
• Growth estimates for logarithmic derivatives of Blaschke products and of functions in the Nevanlinna class
• Blaschke products with derivative in H\(^p\) and B\(^p\)
• On the zeros of functions with finite Dirichlet integral and some related function spaces
• Complex Nonoscillation Theorems and Criteria of Univalence
• An Interpolation Problem for Bounded Analytic Functions
• On the Membership in Bergman Spaces of the Derivative of a Blaschke Product With Zeros in a Stolz Domain
• Uniformly discrete sequences in regions with tangential approach to the unit circle
• INTEGRAL MEANS OF THE DERIVATIVES OF BLASCHKE PRODUCTS
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• On the mean growth of the solutions of complex linear differential equations in the disk
• Linear Differential Equations and Logarithmic Derivative Estimates
• INTEGRABILITY OF THE DERIVATIVE OF A BLASCHKE PRODUCT
• Blaschke Quotients and Normality
• Some Lemmas on Interpolating Blaschke Products and a Correction
• The Schwarzian derivative and schlicht functions
• Remarks on a paper by Zeev Nehari
• Integral means for the first derivative of Blaschke products

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