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). |
|
Hits: 747 |
Download times: 482 |
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 |
View Full Text View/Add Comment |