Vitali properties of Banach analytic manifolds

• Nguyen Van Khue ^[2] ; Nguyen Quang Dieu ^[1] ; Nguyen Van Khiem ^[1]
  1. [1] Hanoi National University of Education

     Hanoi National University of Education

     Vietnam

     
  2. [2] Thang Long Institute of Mathematics and Applied Sciences, Vietnam
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 19, Nº 4, 2019, págs. 1471-1495
• Idioma: inglés
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• Resumen

  • We discuss possible generalizations of Vitali convergence theorem when the source and the target are Banach analytic manifolds. These results are then applied to study the behavior of holomorphic mappings between Banach analytic manifolds. Explicit examples of manifolds having Vitali properties are also provided.