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A Note on Maximal Subextensions of Plurisubharmonic Functions

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Abstract

In this paper, we consider subextensions of plurisubharmonic functions on bounded hyperconvex domains. Under some conditions, we prove the convergence in capacity of maximal subextensions with given boundary values.

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Funding

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2016.06. We are grateful to an anonymous referee for his (her) comments that help to improve the exposition of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay District, Hanoi, Vietnam

    Le Mau Hai, Tran Van Thuy & Nguyen Xuan Hong

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  1. Le Mau Hai
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  2. Tran Van Thuy
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  3. Nguyen Xuan Hong
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Correspondence to Nguyen Xuan Hong.

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Hai, L.M., Thuy, T.V. & Hong, N.X. A Note on Maximal Subextensions of Plurisubharmonic Functions. Acta Math Vietnam 43, 137–146 (2018). https://doi.org/10.1007/s40306-017-0234-z

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  • DOI: https://doi.org/10.1007/s40306-017-0234-z

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