An analogue of Montel’s theorem for some classes of rational functions

Kovacheva, R. K.   ; Lawrynowicz, J.

Czechoslovak Mathematical Journal, Tome 52 (2002) no. 3, pp. 483-498

Abstract (VO)

For sequences of rational functions, analytic in some domain, a theorem of Montel’s type is proved. As an application, sequences of rational functions of the best $L_p$-approximation with an unbounded number of finite poles are considered.

Détail

Classification : 30B40, 30D45, 30E10, 41A20, 41A50
Keywords: normal families; best $L_p$-approximation

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