Convergence of Sequences of Rational Functions on ℂ n

• Published in: Vietnam journal of mathematics Vol. 45; no. 4; pp. 669 - 679
• Main Authors: Dau Hoang Hung, Le Thanh Hung
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01.12.2017
• Subjects: Continuity (mathematics); Convergence; Rational functions

Let A : = { χ m } m ≥ 1 be a sequence of continuous, real valued functions defined on [ 0 , ∞ ) . We say that a sequence {fm}m ≥ 1 of measurable functions defined on X ⊂ D ⊂ ℂ n is convergent in capacity (relative to D) with respect to the weight sequence A to a function f if χm(|f − fm|2) converges...