On the differentiability of T ( r, f )

Douglas W. Townsed

International Journal of Mathematics and Mathematical Sciences, 1982, vol. 5, 1-6

Abstract:

It is well known that T ( r , f ) is differentiable at least for r > r 0 . We show that, in fact, T ( r , f ) is differentiable for all but at most one value of r , and if T ( r , f ) fails to have a derivative for some value of r , then f is a constant times a quotient of finite Blaschke products.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:139542

DOI: 10.1155/S0161171282000337

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