Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (1): 105-110.

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Essential Norm of Extended Cesàro Operators between Bloch-type Spaces

  

  1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University

  • Received:2011-08-17 Online:2013-03-30 Published:2023-03-09
  • About author:ZHAO Di(1985-), female, native of Zoucheng, Shandong, a graduate student 2009 of Zhejiang Normal University, engages in complex variables and operator theory.
  • Supported by:
    Supported by the NNSF of China(10771064); Supported by the Natural Science Foundation of Zhejiang Province(Y7080197, Y6090036, Y6100219); Supported by the Foundation of Creative Groupin Colleges and Universities of Zhejiang Province(T200924)

Abstract: The Bloch-type space Bω consists of all functions f ∈ H(B) for which ||f||Bω=supz∈Bω(z)|▽f(z)|< ∞. Let T be the extended Cesàro operator with holomorphic symbol. The essential norm of T as an operator from Bω to Bμ is denoted by ||T||e,Bω→Bμ. The purpose of this paper is to prove that, for ω, μ normal and ...dt/ω(t) .


Key words: extended Cesàro operator, Bloch-type space, essential norm

CLC Number: