Czechoslovak Mathematical Journal, online first, 15 pp.

Essential norm and a new characterization of weighted composition operators
from weighted Bergman spaces and Hardy spaces into the Bloch space

Songxiao Li, Ruishen Qian, Jizhen Zhou

Received September 6, 2015.   First published July 11, 2017.

Songxiao Li, Department of Mathematics, Jiaying University, Meijiang, Meizhou 514015, Guangdong, P. R. China, e-mail: jyulsx@163.com; Ruishen Qian, School of Mathematics and Computation Science, Lingnan Normal University, No. 29 Cunjin Road, Chikan, Zhenjiang 524048, Guangdong, P. R. China, e-mail: qianruishen@sina.cn; Jizhen Zhou, School of Sciences, Anhui University of Science and Technology, 70 Xueyuan S Rd, Tianjia'an, Huainan 232001, Anhui, P. R. China, e-mail: hope189@163.com

Abstract: In this paper, we give some estimates for the essential norm and a new characterization for the boundedness and compactness of weighted composition operators from weighted Bergman spaces and Hardy spaces to the Bloch space.

Keywords: Bloch space; weighted Bergman space; Hardy space; essential norm; weighted composition operator

Classification (MSC 2010): 30H30, 47B38

DOI: 10.21136/CMJ.2017.0481-15

Full text available as PDF.


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