Blaschke-type conditions for analytic and subharmonic functions in the unit disk: local analogs and inverse problems

DOI10.1007/BF03321819zbMath1242.31001OpenAlexW1984555236MaRDI QIDQ428946

Leonid B. Golinskii, Sergeij Yu. Favorov

Publication date: 25 June 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: http://www.heldermann.de/CMF/CMF12/CMF121/cmf12011.htm

zbMATH Keywords

subharmonic functionsRiesz measureMinkowski dimensioncanonical productsWeierstrass prime factor

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Blaschke products (30J10)

Related Items (6)

Cyclicity in weighted Bergman type spaces ⋮ Moments of Riesz measures on Poincaré disk and homogeneous tree -- A comparative study ⋮ On a Blaschke-Type Condition for Subharmonic Functions with Two Sets of Singularities on the Boundary ⋮ Estimates of conjugate harmonic functions with given set of singularities and application ⋮ A Blaschke-type condition for analytic functions on finitely connected domains. Applications to complex perturbations of a finite-band selfadjoint operator ⋮ Blaschke-type conditions on unbounded domains, generalized convexity, and applications in perturbation theory

Cites Work

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• On the theory of weighted classes of area integrable regular functions
• A Blaschke-type condition for analytic and subharmonic functions and application to contraction operators
• The Representation of Regular Functions
• Bounded Analytic Functions

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