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Local maximality for bounded plurifinely plurisubharmonic functions

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Abstract

In this paper, we prove that \(\mathcal {F}\)-maximality is an \(\mathcal {F}\)-local notion for bounded \(\mathcal {F}\)-plurisubharmonic functions.

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Acknowledgements

The first and second authors are funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2016.06. The authors would like to thank the referees for valuable remarks that helped to improve the exposition in this paper.

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Authors and Affiliations

  1. Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam

    Nguyen Xuan Hong & Le Mau Hai

  2. Vietnam Education Publishing House, Hanoi, Vietnam

    Hoang Viet

Authors
  1. Nguyen Xuan Hong
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  2. Le Mau Hai
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  3. Hoang Viet
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Correspondence to Nguyen Xuan Hong.

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Hong, N.X., Hai, L.M. & Viet, H. Local maximality for bounded plurifinely plurisubharmonic functions. Potential Anal 48, 115–123 (2018). https://doi.org/10.1007/s11118-017-9630-1

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  • DOI: https://doi.org/10.1007/s11118-017-9630-1

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