메뉴 건너뛰기




Volumn 156, Issue 2, 2002, Pages 623-631

The solution of the Kato problem for divergence form elliptic operators with Gaussian heat kernel bounds

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036761443     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/3597200     Document Type: Article
Times cited : (60)

References (19)
  • 1
    • 0001092529 scopus 로고    scopus 로고
    • Regularity theorems and heat kernel for elliptic operators
    • P. Auscher, Regularity theorems and heat kernel for elliptic operators, J. London Math. Soc. 54 (1996), 284-296.
    • (1996) J. London Math. Soc. , vol.54 , pp. 284-296
    • Auscher, P.1
  • 4
    • 0003133934 scopus 로고    scopus 로고
    • Extrapolation of Carleson measures and the analyticity of Kato's square root operators
    • P. Auscher, S. Hofmann, J.L. Lewis, and Ph. Tchamitchian, Extrapolation of Carleson measures and the analyticity of Kato's square root operators, Acta Math. 187 (2001), 161-190.
    • (2001) Acta Math. , vol.187 , pp. 161-190
    • Auscher, P.1    Hofmann, S.2    Lewis, J.L.3    Tchamitchian, Ph.4
  • 5
    • 0002697426 scopus 로고    scopus 로고
    • Heat kernels of second order complex elliptic operators and applications
    • P. Auscher, A. Mcintosh, and Ph. Tchamitchian, Heat kernels of second order complex elliptic operators and applications, J. Funct. Anal. 152 (1998), 22-73.
    • (1998) J. Funct. Anal. , vol.152 , pp. 22-73
    • Auscher, P.1    McIntosh, A.2    Tchamitchian, Ph.3
  • 7
    • 0001233924 scopus 로고
    • A T(b) theorem with remarks on analytic capacity and the Cauchy integral
    • M. Christ, A T(b) theorem with remarks on analytic capacity and the Cauchy integral, Colloq. Math. 60/61 (1990), 601-628.
    • (1990) Colloq. Math. , vol.60-61 , pp. 601-628
    • Christ, M.1
  • 8
    • 0001450011 scopus 로고
    • Domaine de la racine carrée de certains operateurs differentials accrétifs
    • R. Coifman, D. Deng, and Y. Meyer, Domaine de la racine carrée de certains operateurs differentials accrétifs, Ann. Institut Fourier (Grenoble) 33 (1983), 123-134.
    • (1983) Ann. Institut Fourier (Grenoble) , vol.33 , pp. 123-134
    • Coifman, R.1    Deng, D.2    Meyer, Y.3
  • 10
    • 0011913788 scopus 로고    scopus 로고
    • unpublished communication
    • L. Escauriaza, unpublished communication.
    • Escauriaza, L.1
  • 11
    • 0000054569 scopus 로고
    • Multilinear square functions and partial differential equations
    • E. Fabes, D. Jerison and C. Kenig, Multilinear square functions and partial differential equations, Amer. J. Math. 107 (1985), 1325-1368.
    • (1985) Amer. J. Math. , vol.107 , pp. 1325-1368
    • Fabes, E.1    Jerison, D.2    Kenig, C.3
  • 12
    • 0001419120 scopus 로고
    • Necessary and sufficient conditions for absolute continuity of elliptic-harmonic measure
    • _, Necessary and sufficient conditions for absolute continuity of elliptic-harmonic measure, Ann. of Math. 119 (1984), 121-141.
    • (1984) Ann. of Math. , vol.119 , pp. 121-141
  • 13
    • 0000443844 scopus 로고
    • Remarks on Kato's square-root problem
    • J.-L. Journé, Remarks on Kato's square-root problem, Publ. Mat. 35 (1991), 299-321.
    • (1991) Publ. Mat. , vol.35 , pp. 299-321
    • Journé, J.-L.1
  • 15
    • 84972498530 scopus 로고
    • Fractional powers of dissipative operators
    • _, Fractional powers of dissipative operators, J. Math. Soc. Japan 13 (1961), 246-274.
    • (1961) J. Math. Soc. Japan , vol.13 , pp. 246-274
  • 16
    • 0011828024 scopus 로고
    • Kato's square roots of accretive operators and Cauchy kernels on Lipschitz curves are the same
    • (I. Peral, ed.), North Holland Math. Stud. 111, 123-143, North-Holland, Amsterdam
    • C. Kenig and Y. Meyer, Kato's square roots of accretive operators and Cauchy kernels on Lipschitz curves are the same, in Recent Progress in Fourier Analysis (I. Peral, ed.), North Holland Math. Stud. 111, 123-143, North-Holland, Amsterdam, 1985.
    • (1985) Recent Progress in Fourier Analysis
    • Kenig, C.1    Meyer, Y.2
  • 17
    • 0000234235 scopus 로고
    • Square roots of operators and applications to hyperbolic PDEs
    • Austral. Natl. Univ., Canberra
    • A. Mcintosh, Square roots of operators and applications to hyperbolic PDEs, 124-136, in Proc. Centre Math. Anal. Austral. Natl. Univ. 5, Austral. Natl. Univ., Canberra, 1984.
    • (1984) Proc. Centre Math. Anal. Austral. Natl. Univ. , vol.5 , pp. 124-136
    • McIntosh, A.1
  • 18
    • 84968518960 scopus 로고
    • *1/2
    • *1/2, Proc. Amer. Math. Soc. 32 (1972), 430-434.
    • (1972) Proc. Amer. Math. Soc. , vol.32 , pp. 430-434
  • 19
    • 0001020697 scopus 로고
    • The square root problem for elliptic operators: A survey
    • Functional-Analytic Methods for Partial Differential Equations (Tokyo, 1989), Springer-Verlag, New York
    • _, The square root problem for elliptic operators: a survey, in Functional-Analytic Methods for Partial Differential Equations (Tokyo, 1989), Lecture Notes in Math. 1450, 122-140, Springer-Verlag, New York, 1990.
    • (1990) Lecture Notes in Math. , vol.1450 , pp. 122-140


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.