Czechoslovak Mathematical Journal, Vol. 67, No. 3, pp. 629-643, 2017


Essential norm and a new characterization of weighted composition operators <br> 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.

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:  30H30, 47B38


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Affiliations:   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


 
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