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Integration operators between Bloch type spaces and growth spaces on the unit ball of a complex Banach space

Volume 127 / 2021

Jiale Chen, Maofa Wang Annales Polonici Mathematici 127 (2021), 177-199 MSC: Primary 47G10; Secondary 32A37. DOI: 10.4064/ap210511-1-7 Published online: 28 October 2021

Abstract

We characterize the boundedness and compactness of integration operators between Bloch type spaces and growth spaces of holomorphic functions on the unit ball of a complex Banach space. Furthermore, we investigate the weak compactness and strict singularity of integration operators via interpolating sequences for bounded holomorphic functions. We also characterize the spectra of these operators.

Authors

  • Jiale ChenSchool of Mathematics and Statistics
    Wuhan University
    430072 Wuhan, China
    e-mail
  • Maofa WangSchool of Mathematics and Statistics
    Wuhan University
    430072 Wuhan, China
    e-mail

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