Opuscula Math. 37, no. 2 (2017), 303-312
http://dx.doi.org/10.7494/OpMath.2017.37.2.303

 
Opuscula Mathematica

Compact generalized weighted composition operators on the Bergman space

Qinghua Hu
Xiangling Zhu

Abstract. We characterize the compactness of the generalized weighted composition operators acting on the Bergman space.

Keywords: Bergman space, generalized weighted composition operator, compactness.

Mathematics Subject Classification: 30H30, 47B33.

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  • Qinghua Hu
  • Department of Mathematics, Shantou University, Guangdong Shantou 515063, P.R. China
  • Xiangling Zhu
  • Department of Mathematics, Jiaying University, Meizhou 514015, P.R. China
  • Communicated by Stevo Stević.
  • Received: 2016-08-08.
  • Revised: 2016-08-28.
  • Accepted: 2016-08-28.
  • Published online: 2017-01-03.
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Cite this article as:
Qinghua Hu, Xiangling Zhu, Compact generalized weighted composition operators on the Bergman space, Opuscula Math. 37, no. 2 (2017), 303-312, http://dx.doi.org/10.7494/OpMath.2017.37.2.303

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