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.
• Revised: 2016-08-28.
• Accepted: 2016-08-28.
• Published online: 2017-01-03.