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Regularization of quasi-plurisubharmonic functions on complex manifolds

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Abstract

In this paper, we give a survey of various regularization theorems of quasi-plurisubharmonic functions on complex manifolds, and we also discuss the ideas used in their proofs. Moreover, we will present their applications in our studies on extension problems.

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Acknowledgements

Xiangyu Zhou was partially supported by National Natural Science Foundation of China (Grant Nos. 11688101 and 11431013). Langfeng Zhu was partially supported by National Natural Science Foundation of China (Grant Nos. 11201347 and 11671306).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Mathematics and Systems Science, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing, 100190, China

    Xiangyu Zhou

  2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Xiangyu Zhou

  3. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Langfeng Zhu

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  1. Xiangyu Zhou
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  2. Langfeng Zhu
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Correspondence to Langfeng Zhu.

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Zhou, X., Zhu, L. Regularization of quasi-plurisubharmonic functions on complex manifolds. Sci. China Math. 61, 1163–1174 (2018). https://doi.org/10.1007/s11425-018-9289-4

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  • DOI: https://doi.org/10.1007/s11425-018-9289-4

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