Reflection-function extension conjecture for CR mappings

Let $M,M'\subset\mathbb{C}^n$, with $n\geq 2$, be globally minimal real analytic hypersurfaces. Let $h:M\to M'$ be a continuous CR mapping whose holomorphic extension to a global one-sided neighborhood $D$ of $M$ has generic rank $n$. The reflection function is the function associated with the real analytic hypersurface $M'$ and the mapping $h$ that encodes the complexification of the defining equations of $M'$ along the graph of $h$. Reflection-function extension conjecture. The reflection function extends holomorphically to a neighborhood of every point $p\times\overline{h(p)}$ in the graph of $\bar h$. This is presented as an open problem; the generic-rank assumption is necessary according to the example given in the source.