Zero sets and uniqueness sets with one cluster point for the Dirichlet space

DOI10.1016/J.JMAA.2009.04.023zbMath1189.31013OpenAlexW1982679139MaRDI QIDQ1029120

Javad Mashreghi, Mahmood Shabankhah

Publication date: 9 July 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.023

zbMATH Keywords

Dirichlet spaceBlaschke productszero setsuniqueness sets

Mathematics Subject Classification ID

Dirichlet forms (31C25) Blaschke products (30J10)

Related Items (4)

On zero sets in the Dirichlet space ⋮ Blaschke condition and zero sets in weighted Dirichlet spaces ⋮ Local boundary smoothness of an analytic function and its modulus in several dimensions: an announcement ⋮ On the local Hölder boundary smoothness of an analytic function in the unit ball compared with the smoothness of its modulus

Cites Work

• A representation formula for the Dirichlet integral
• Tangential boundary behavior of functions in Dirichlet-type spaces
• Analytic functions smooth up to the boundary
• On the zeros of functions with finite Dirichlet integral
• A characterization of zero sets for \(A^ \infty\)
• On the zeros of functions with finite Dirichlet integral and some related function spaces
• On the zeros of functions with bounded Dirichlet integrals
• Zeros of functions with finite Dirichlet integral
• Two Results Concerning the Zeros of Functions with Finite Dirichlet Integral

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