3 problems

Let $\Omega\subset\subset D$ be convex domains with $C^2$ boundaries in $\mathbb{C}^n$, let $K$ be a convex compact subset of $\mathbb{C}^n$, and let $f$ be continuous on…

Let $B^n\subset\mathbb C^n$ be the unit ball, and let $a_1,\ldots,a_{n+1}\in B^n$ be vertices in general position. An $n+1$-bundle of complex lines consists of the complex lines co…

Affine-independence conjecture. Then $fcin A(cpartialcOmega)$.