Blaschke condition and zero sets in weighted Dirichlet spaces

DOI10.1007/s11512-011-0151-7zbMath1270.30021OpenAlexW2077498543MaRDI QIDQ692554

Dominique Guillot

Publication date: 6 December 2012

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-011-0151-7

zbMATH Keywords

Dirichlet spaceDirichlet integralzero setBlaschke conditionCarleson set

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Spaces and algebras of analytic functions of one complex variable (30H99) Blaschke products (30J10)

Related Items (4)

Reproducing kernels for Dirichlet spaces associated to finitely supported measures ⋮ Havin-Mazya type uniqueness theorem for Dirichlet spaces ⋮ Which de Branges-Rovnyak spaces are Dirichlet spaces (and vice versa)? ⋮ Blaschke products and zero sets in weighted Dirichlet spaces

Cites Work

• Unnamed Item
• A representation formula for the Dirichlet integral
• Tangential boundary behavior of functions in Dirichlet-type spaces
• Zero sets and uniqueness sets with one cluster point for the Dirichlet space
• A formula for the local Dirichlet integral
• On the zeros of functions with finite Dirichlet integral and some related function spaces
• Sets of uniqueness for functions regular in the unit circle
• On the zeros of functions with bounded Dirichlet integrals

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