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Harmonic Analysis on Chord Arc Domains |
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| Authors: | Emmanouil Milakis Jill Pipher Tatiana Toro |
| Institution: | 1. Department of Mathematics & Statistics, University of Cyprus, P.O. Box 20537, Nicosia, 1678, Cyprus 2. Mathematics Department, Brown University, P.O. Box 1917, Providence, RI, 02912, USA 3. Department of Mathematics, University of Washington, P.O. Box 354350, Seattle, WA, 98195-4350, USA |
| Abstract: | In the present paper we study the solvability of the Dirichlet problem for second order divergence form elliptic operators with bounded measurable coefficients which are small perturbations of given operators in rough domains beyond the Lipschitz category. In our approach, the development of the theory of tent spaces on these domains is essential. |
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