Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains |
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| Authors: | Zhangjian Hu Xiaofen Lv Kehe Zhu |
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| Affiliation: | 1. Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang, China;2. Department of Mathematics and Statistics, SUNY, Albany, New York, USA |
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| Abstract: | Given a bounded strongly pseudoconvex domain D in  with smooth boundary, we characterize  ‐Bergman Carleson measures for  ,  , and  . As an application, we show that the Bergman space version of the balayage of a Bergman Carleson measure on D belongs to BMO in the Kobayashi metric. |
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| Keywords: | Carleson measure Bergman space BMO balayage Kobayashi metric Primary: 47B38 Secondary: 32A37 |
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