Let be analytic in the open disk . Let and be the anticlockwise oreinted circle of radius centered at .

Let tr .

Does it follow that is bounded on tr ?

Thanks

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- Apr 1st 2013, 11:56 AMAntbounded anlaytic function.
Let be analytic in the open disk . Let and be the anticlockwise oreinted circle of radius centered at .

Let tr .

Does it follow that is bounded on tr ?

Thanks - Apr 1st 2013, 02:01 PMxxp9Re: bounded anlaytic function.
what is "tr"?

- Apr 1st 2013, 02:07 PMAntRe: bounded anlaytic function.
sory, it denotes the trace of . i.e. the image of the map/contour .

- Apr 1st 2013, 02:26 PMxxp9Re: bounded anlaytic function.
A circle is compact so any continuous function on it is bounded.