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Carleson measures on convex domains with smooth boundary of finite type

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  • Haichou Li
  • Jinsong Liu
  • Hongyu Wang

Abstract

Following M. Abate and A. Saracco's work on strongly pseudoconvex domains in Cn$\mathbb {C}^n$, we characterize Carleson measures of A2(D)$A^2(D)$ in bounded convex domains in Cn$\mathbb {C}^n$ with smooth boundary of finite type. We also give examples of Carleson measures with uniformly discrete (with respect to the Kobayashi distance) sequences.

Suggested Citation

  • Haichou Li & Jinsong Liu & Hongyu Wang, 2024. "Carleson measures on convex domains with smooth boundary of finite type," Mathematische Nachrichten, Wiley Blackwell, vol. 297(2), pages 694-706, February.
    • Handle: RePEc:bla:mathna:v:297:y:2024:i:2:p:694-706
    DOI: 10.1002/mana.202200325
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    References listed on IDEAS

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    1. Zhangjian Hu & Xiaofen Lv & Kehe Zhu, 2016. "Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains," Mathematische Nachrichten, Wiley Blackwell, vol. 289(10), pages 1237-1254, July.
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