Research Problems in Function Theory by Walter K. Hayman & Eleanor F. Lingham

Author:Walter K. Hayman & Eleanor F. Lingham
Language: eng
Format: epub
ISBN: 9783030251659
Publisher: Springer International Publishing

(R.R. Hall)

Update 6.89

No progress on this problem has been reported to us.

Problem 6.90

Let E be a set of positive logarithmic capacity on the unit circle . Is E necessarily a set of uniqueness for functions univalent in ?

Carleson [188] has shown that this is false for functions f analytic in for which

Beurling [120] has shown that univalent functions cannot have constant boundary values on a set of positive capacity.

(D.H. Hamilton)

Update 6.90

Progress reported in a previous update [156] has not been published.

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