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We consider the steady Stokes equations in a bounded domain with forcing indivergence form supplemented with no-slip boundary conditions. We provide amaximal regularity theory in Campanato spaces (inlcuding $\mathrm{BMO}$ and$C^{0,\alpha}$ for $0<\alpha <1$ as special cases) under minimal assumptions onthe regularity of the underlying domain. Our approach is based on pointwisemultipliers in Campanto spaces.

A Schauder theory for the Stokes equations in rough domains