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May 25, 2013 at 16:02 comment added fedja An inner function can "grow" (approach $1$) as slowly as you wish. The construction of A.B. Aleksandrov is one of the easiest ways to get such examples.
Feb 4, 2013 at 10:45 history edited Yanqi QIU CC BY-SA 3.0
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Feb 4, 2013 at 9:17 history asked Yanqi QIU CC BY-SA 3.0