Continuity of the Perron–Bremermann envelope of plurisubharmonic functions

• Long, Tang Van ^[1] ; Hong, Nguyen Xuan ^[1] ; Lieu, Pham Thi ^[2]
  1. [1] Hanoi National University of Education

     Hanoi National University of Education

     Vietnam

     
  2. [2] Department of Basis Sciences and Foreign Languages, People’s Police University of Technology and Logistics, Bacninh, Vietnam
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 75, Fasc. 3, 2024, págs. 659-670
• Idioma: inglés
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• Resumen

  • 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.