Abstract
Let D(μ) be the Dirichlet space weighted by the Poisson integral of the positive measure μ. We give a characterization of the measures μ equal to a countable sum of atoms for which the Blaschke condition is a necessary and sufficient condition for a sequence to be a zero set for D(μ).
Funding Statement
Work supported by scholarships from NSERC (Canada) and FQRNT (Quebec).
Citation
Dominique Guillot. "Blaschke condition and zero sets in weighted Dirichlet spaces." Ark. Mat. 50 (2) 269 - 278, October 2012. https://doi.org/10.1007/s11512-011-0151-7
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