Zhao, Yanhui; Liao, Chunyan; Deng, Chunhong; Wu, Xiuyun Extended Cesàro operators from weighted Bergman space to Bloch-type spaces on the unit polydisk. (Chinese. English summary) Zbl 1463.47142 J. Zhejiang Univ., Sci. Ed. 47, No. 2, 151-154 (2020). Summary: Some questions of extended Cesàro operators from weighted Bergman space to Bloch-type spaces on the unit polydisk were studied. By applying the methods of functional analysis and several complex variables, the necessary and sufficient conditions were given for extended Cesàro operators to be bounded and compact from weighted Bergman space to Bloch-type spaces on the unit polydisk and on the unit disk. MSC: 47G10 Integral operators 32A36 Bergman spaces of functions in several complex variables Keywords:weighted Bergman space; Bloch-type spaces; extended Cesàro operators PDFBibTeX XMLCite \textit{Y. Zhao} et al., J. Zhejiang Univ., Sci. Ed. 47, No. 2, 151--154 (2020; Zbl 1463.47142) Full Text: DOI