On a bounded pseudoconvex domain Ω in ℂn with a plurisubharmonic Lipschitz defining function, we prove that the $\overline\partial$-Neumann operator is bounded on Sobolev (1/2)-spaces.
"The $\overline\partial$-Neumann operator on Lipschitz pseudoconvex domains with plurisubharmonic defining functions." Duke Math. J. 108 (3) 421 - 447, 15 June 2001. https://doi.org/10.1215/S0012-7094-01-10832-6