Let Omega subset of R-n be a domain with uniform C-3 boundary and assume that the Helmholtz decomposition exists in L-q (Omega) := L-q(Omega)(n) for some q is an element of (1, infinity). We show that a suitable translate of the Stokes operator admits a bounded H-infinity-calculus in L-sigma(p) (Omega) for p is an element of (min{q, q'}, max{q, q'}). For the proof we use a recent maximal regularity result for the Stokes operator on such domains (GHHS12) and an abstract result for the H-infinity-calculus in complemented subspaces (KKW06, KW13).
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