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Carleson measures for the Bloch space

Volume 277 / 2024

Guanlong Bao, Juntao Du, Hasi Wulan, Kehe Zhu Studia Mathematica 277 (2024), 99-122 MSC: Primary 30H30; Secondary 30H20, 31C05, 46E15 DOI: 10.4064/sm230810-9-6 Published online: 9 August 2024

Abstract

We study the open problem of characterizing Carleson measures for the Bloch space. Several characterizations of these measures are obtained and several examples are constructed. Our approach is based on the theory of weighted Bergman spaces induced by certain variants of the Green potential.

Authors

  • Guanlong BaoDepartment of Mathematics
    Shantou University
    Shantou, Guangdong 515821, P.R. China
    e-mail
  • Juntao DuDepartment of Mathematics
    Guangdong University of Petrochemical Technology
    Maoming, Guangdong 525000, P.R. China
    e-mail
  • Hasi WulanDepartment of Mathematics
    Shantou University
    Shantou, Guangdong 515821, P.R. China
    e-mail
  • Kehe ZhuDepartment of Mathematics and Statistics
    State University of New York
    Albany, NY 12222, USA
    e-mail
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