Abstract.
It is proved that the Stokes operator on a bounded domain, an exterior domain, or a perturbed half-space Ω admits a bounded H ∞-calculus on L q (Ω) if q(1,∞).
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Received: 25 January 2002; in final form: 2 October 2002 / Published online: 16 May 2003
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Noll, A., Saal, J. H ∞-calculus for the Stokes operator on L q -spaces. Math. Z. 244, 651–688 (2003). https://doi.org/10.1007/s00209-003-0518-y
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DOI: https://doi.org/10.1007/s00209-003-0518-y