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H ∞ -calculus for the Stokes operator on L q -spaces |
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| Authors: | Noll André Saal Jürgen |
| Institution: | (1) Fachbereich Mathematik, TU Darmstadt, AG 4, Schlo?gartenstra?e 7, 64289 Darmstadt, Germany, DE |
| 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,∞). Received: 25 January 2002; in final form: 2 October 2002 / Published online: 16 May 2003 |
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