The solution of Kato's conjectures;La solution des conjectures de Kato

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 332, Issue 7, 2001, Pages 601-606

  Auscher, Pascal ^a   Hofmann, Steve ^b   Lacey, Michael ^c   Lewis, John ^d   McIntosh, Alan ^e   Tchamitchian, Philippe ^f  

^a UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

^b UNIVERSITY OF MISSOURI   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^d UNIVERSITY OF KENTUCKY   (United States)

^e AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^f CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010158561     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)01893-6     Document Type: Article

References (13)

1. Auscher P., Hofmann S., Lewis J., Tchamitchian Ph., Extrapolation of Carleson measures and the analyticity of Kato's square root operator, Acta Math. (à paraître).
2. Auscher P., Tchamitchian Ph. Conjecture de Kato sur les ouverts de R . Rev. Mat. Iberoamericana. 8:1992;149-199.
3. Auscher P., Tchamitchian Ph. Square Root Problem for Divergence Operators and Related Topics. Astérisque. 249:1998;Soc. Math. de France.
4. Coifman R., Deng D., Meyer Y. Domaine de la racine carrée de certains opérateurs différentiels accrétifs. Ann. Inst. Fourier. 33:1983;123-134.
5. 2( R ) pour les courbes lipschitziennes. Ann. Math. 116:1982;361-387.
6. p boundedness of Riesz transforms associated with divergence forms operators. Workshop on Analysis and Applications, Brisbane, 1997. Proceedings of the Centre for Mathematical Analysis. 37:1999;15-25 ANU, Canberra.
7. Escauriaza L. (communication personnelle).
8. Fabes E., Jerison D., Kenig C. Necessary and sufficient conditions for absolute continuity of elliptic-harmonic measure. Ann. Math. 119:1984;121-141.
9. Fabes E., Jerison D., Kenig C. Multilinear square functions and partial differential equations. Amer. J. Math. 107:1985;1325-1367.
10. Journé J.-L. Remarks on the square root problem. Publ. Math. 35:1991;299-321.
11. Kato T. Fractional powers of dissipative operators. J. Math. Soc. Japan. 13:1961;246-274.
12. Lions J.-L. Espaces d'interpolation et domaines de puissances fractionnaires. J. Math. Soc. Japan. 14:1962;233-241.
13. McIntosh A. Square roots of operators and applications to hyperbolic PDE. Proceedings of the Miniconference on Operator Theory and PDE, CMA. 1983;The Australian National University, Canberra.