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Continuity of the Perron–Bremermann envelope of plurisubharmonic functions

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Abstract

In this paper we are interested in studying the Perron–Bremermann envelope of plurisubharmonic functions. We give a sufficient condition for the envelope to be Hölder continuous.

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Author notes

  1. Pham Thi Lieu

    Present address: , Hanoi, Vietnam

Authors and Affiliations

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

    Tang Van Long & Nguyen Xuan Hong

  2. Department of Basis Sciences and Foreign Languages, People’s Police University of Technology and Logistics, Bacninh, Vietnam

    Pham Thi Lieu

Authors
  1. Tang Van Long
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  2. Nguyen Xuan Hong
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  3. Pham Thi Lieu
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Correspondence to Tang Van Long.

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This research is funded by Hanoi National University of Education under grant number SPHN23-04. The authors would like to thank the referees for valuable remarks which led to the improvements of the exposition of the paper.

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Long, T.V., Hong, N.X. & Lieu, P.T. Continuity of the Perron–Bremermann envelope of plurisubharmonic functions. Collect. Math. (2023). https://doi.org/10.1007/s13348-023-00405-9

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