Boundedness of an Integral Operator on Bloch-Type Spaces
Received:December 02, 2019  Revised:October 24, 2020
Key Words: Boundedness   integral operator   Bloch-type space   Hardy space  
Fund Project:Supported by the Natural Science Foundation of Zhejiang Province (Grant No.LY14A010021).
Author NameAffiliation
Xiaoyang HOU Department of Basic, Wenzhou Business College, Zhejiang 325035, P. R. China 
Chao LIU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      In this paper, we study the boundedness of an integral operator $K$ over the unit disk $\dd$, defined as $Kf(z)=\int_{\dd}\frac{f(w)}{1-z\bar{w}}\d A(w)$, which can be viewed as a cousin of the classical Bergman projection, and we establish satisfactory boundedness results between Bloch-type spaces, $H^{\infty}$ and $L^{p}$ spaces.
Citation:
DOI:10.3770/j.issn:2095-2651.2021.03.003
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