Blaschke sequences and zero sets for Dirichlet spaces with superharmonic weights

期刊论文
发表日期：

2025年2月5日

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Guanlong Bao,
Javad Mashreghi,
Zipeng Wang,
Hasi Wulan

摘要

Using Newtonian potentials and balayages of positive Borel measures, we describe the family of superharmonically weighted Dirichlet spaces $\mathcal {D}_\omega $ $D_{ω}$ for which every Blaschke sequence is a zero set. We also investigate random zero sets and random Blaschke products in $\mathcal {D}_\omega $ $D_{ω}$ spaces.