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24 p, 419.8 KB Vitali's theorem without uniform boundedness / Quang Dieu, Nguyen (Hanoi National University of Education) ; Van Manh, Phung (Hanoi National University of Education) ; Hien Bang, Pham (Thai Nguyen University of Education) ; Hung, Le Thanh (College of Education (Vinh Phuc, Vietnam))
Let {fm}m≥1 be a sequence of holomorphic functions defined on a bounded domain D ⊂ Cn or a sequence of rational functions (1 ≤ deg rm ≤ m) defined on Cn. We are interested infinding sufficient conditions to ensure the convergence of {fm}m≥1 on a large set provided the convergence holds pointwise on a not too small set. [...]
2016 - 10.5565/PUBLMAT_60216_03
Publicacions matemàtiques, Vol. 60 Núm. 2 (2016) , p. 311-334 (Articles)  

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