Boundary values of analytic functions

Alexander G. Ramm

Let $D$ be a connected bounded domain in ${\mathbb{R}}^2$, $S$ be its boundary which is closed, connected and smooth. Let $\Phi (z)=\frac{1}{2\pi i}{\int }_S\frac{f(s)ds}{s-z}$, $f\in L^1(S)$, $z=x+iy…