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<p>In this paper we study the balayage for weighted Bergman spaces on the unit disk induced by doubling radial weights. The focus is on the relationship between properties of the balayage and its inducing measure. We also study the relationship between the balayage and the Berezin transform of a positive Borel measure.</p>

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Balayage for Weighted Bergman Spaces

  • 期刊论文

  • 发表日期：

    2026年3月7日

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  • Yongjiang Duan,
  • Junhan Hong,
  • Kehe Zhu

摘要

In this paper we study the balayage for weighted Bergman spaces on the unit disk induced by doubling radial weights. The focus is on the relationship between properties of the balayage and its inducing measure. We also study the relationship between the balayage and the Berezin transform of a positive Borel measure.