La conjecture de Kato

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1. [1] P. Auscher, S. Hofmann, M. Lacey, A. Mcintosh & PH. Tchamitchian — « The solution of the Kato square root problem for second order elliptic operators on Rn », à paraître aux Annals of Maths. Zbl1128.35316
2. [2] P. Auscher, S. Hofmann, J. Lewis & PH. Tchamitchian — « Extrapolation of Carleson measures and the analyticity of Kato's square root operator », Acta Math., à paraître. Zbl1163.35346
3. [3] P. Auscher & PH. Tchamitchian — Square root problem for divergence operators and related topics, Astérisque, vol. 249, Société Mathématique de France, 1998. Zbl0909.35001MR1651262
4. [4] M. Christ & J.-L. Journé — « Polynomial growth estimates for multilinear singular operators », Acta Math.159 (1987), p. 51-80. Zbl0645.42017MR906525
5. [5] S. Hofmann & J.L. Lewis — « The Dirichlet problem for parabolic operators with singular drift terms », à paraître aux Memoirs of the Amer. Math. Soc. Zbl1149.35048
6. [6] J.-L. Journé — « Remarks on the square root problem », Pub. Math.35 (1991), p. 299-321. Zbl0739.47009MR1103623
7. [7] T. Kato — « Fractional powers of dissipative operators », J. Math. Soc. Japan13 (1961), p. 246-274. Zbl0113.10005MR138005
8. [8] J.-L. Lions - « Espaces d'interpolation et domaines de puissances fractionnaires », J. Math. Soc. Japan14 (1962), p. 233-241. Zbl0108.11202MR152878
9. [9] V.G. Maz'ya, S.A. Nazarov & B.A. Plamenevskii — « Absence of the De Giorgi-type theorems for strongly elliptic equations with complex coefficients », J. Math. Sov.28 (1985), p. 726-739. Zbl0562.35030
10. [10] Y. Meyer & R. Coifman — Wavelets, Calderón-Zygmund operators and multilinear operators, Cambridge Studies in advanced mathematics, vol. 48, Cambridge University Press, 1997. Zbl0916.42023MR1456993