$L^p$ Mapping Properties for the Cauchy-Riemann Equations on Lipschitz Domains Admitting Subelliptic Estimates

We show that on bounded Lipschitz pseudoconvex domains that admit good weight functions the $\bar{\mathrm{\partial }}$-Neumann operators $N_q, \overline{\partial}^* N_{q}$,and$\overline{\partial} N_{q}$areboundedon$L^p$spacesforsomevaluesof$p$ greater than 2.