| Extended Ces\`{a}ro Operators between Different Bergman Spaces in the Ball |
| Received:June 11, 2009 Revised:April 26, 2010 |
| Key Words:
extended Ces\`{a}ro operator Bergman space normal function.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10771064), the Natural Science Foundation of Zhejiang Province (Grant Nos.Y7080197; Y6090036; Y6100219) and Foundation of Creative Group in Universities of Zhejiang Province (Grant No.T200924). |
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| Abstract: |
| In this paper, we obtain the characterizations on $\mu$ for $(p,q)-\varphi$ Carleson measure, and discuss the boundedness (and compactness) of the extended Ces\`{a}ro operators $T_g$ between different weighted Bergman spaces as some application. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.03.021 |
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