Necessary conditions for H\"older regularity gain of d-bar equation in C^3

Suppose that a smooth holomorphic curve $V$ has order of contact $\eta$ at a point $w_0$ in the boundary of a pseudoconvex domain $\mathrm{\Omega }$ in ${\mathbb{C}}^3\mathrm{.}$ We show that the maximal gain in H"older regularity for solutions of the $\bar{\mathrm{\partial }}$-equation is at most $\frac{1}{\eta }\mathrm{.}$