Two Papers on Extremal Problems in Complex Analysis

Extremal problems for vanishing functions in Bergman spaces

“…Similar or related problems have been studied extensively. For detailed treatments of extremal problems on the closely related classical Hardy spaces, we refer the reader to [3,Chapter 8], [8, Chapter IV] or [11]. To list only a few references, extremal problems in Bergman spaces have been studied in [5], [6], [7], [10], [12], [13], [14], [15] for linear functionals and in [16] for norm-attaining operators.…”

An extremal problem for characteristic functions

“…Fejér's result was generalized by Nehari in terms of Hankel operators (see [22], [24, Theorem 1.1.1] and (2.7) below). We refer the reader to [8,16,17] for further references.…”