Recent content by niklas

=1??

|a_n|\leq\frac{1}{2\pi}\frac{M}{r^3}l=\frac{M}{r^2}\quad M=\max_{|z|<r<1}|f(z)|=\sup_{z\in\partial D_r}|f(z)| ?

Let D\subset\mathbb{C} be the unitdisc and F=\{f:D\rightarrow D\,|\,\forall z\in D\partial_{\bar{z}}f=0\}, calculate L=\sup_{f\in F}|f''(0)|. Show that there is an g\in F with g''(0)=L. I am a bit stuck. But I think that it might be an idea to start with Cauchy estimate. Any other ideas?