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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- April 1st 2013, 10:56 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 - April 1st 2013, 01:01 PMxxp9Re: bounded anlaytic function.
what is "tr"?

- April 1st 2013, 01:07 PMAntRe: bounded anlaytic function.
sory, it denotes the trace of . i.e. the image of the map/contour .

- April 1st 2013, 01:26 PMxxp9Re: bounded anlaytic function.
A circle is compact so any continuous function on it is bounded.