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Bloch functions: the basic theory. (English) Zbl 0578.30042
Operators and function theory, Proc. NATO Adv. Study Inst., Lancaster/Engl. 1984, NATO ASI Ser., Ser. C 153, 1-17 (1985).
[For the entire collection see Zbl 0563.00012.]
This expository paper gives a brief overview of the space of Bloch functions, drawing heavily from a previous paper of the author, J. Clunie and Ch. Pommerenke [J. Reine Angew. Math. 270, 12-37 (1974; Zbl 0292.30030)]. In addition, an account is given of the solutions to five of twelve problems posed in the paper cited; the other seven problems remain open.
Reviewer: P.Lappan

MSC:
30H05 Spaces of bounded analytic functions of one complex variable
30D45 Normal functions of one complex variable, normal families
Keywords:
Bloch functions