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Volumn 19, Issue 3, 2003, Pages 919-942

Calderón-Zygmund theory for non-integral operators and the H ∞ functional calculus

Author keywords

Calder n Zygmund theory; Elliptic operators; Functional calculus

Indexed keywords


EID: 1542504748     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/374     Document Type: Article
Times cited : (114)

References (23)
  • 1
    • 0000794929 scopus 로고    scopus 로고
    • Equivalence between regularity theorems and heat kernel estimates for higher order elliptic operators and systems under divergence form
    • [AQ]
    • [AQ] AUSCHER, P., QAFSAOUI, M.: Equivalence between regularity theorems and heat kernel estimates for higher order elliptic operators and systems under divergence form. J. Funct. Anal. 177 (2000), 310-364.
    • (2000) J. Funct. Anal. , vol.177 , pp. 310-364
    • Auscher, P.1    Qafsaoui, M.2
  • 2
    • 0000740667 scopus 로고    scopus 로고
    • Square root problem for divergence operators and related topics
    • [AT], Soc. Math. de France
    • [AT] AUSCHER, P., TCHAMITCHIAN, PH.: Square root problem for divergence operators and related topics. Astérisque 249 (1998), Soc. Math. de France.
    • (1998) Astérisque , vol.249
    • Auscher, P.1    Tchamitchian, Ph.2
  • 4
    • 0011935302 scopus 로고    scopus 로고
    • Weighted norm estimates and maximal regularity
    • [BK1]
    • [BK1] BLUNCK, S., KUNSTMANN, P. C.: Weighted norm estimates and maximal regularity. Adv. Differential Equations 7 (2002), no. 12, 1513 1532.
    • (2002) Adv. Differential Equations , vol.7 , Issue.12 , pp. 1513-1532
    • Blunck, S.1    Kunstmann, P.C.2
  • 5
    • 85071468987 scopus 로고    scopus 로고
    • Weak type (p,p) estimates for Riesz transforms
    • [BK2], to appear
    • [BK2] BLUNCK, S., KUNSTMANN, P. C.: Weak type (p,p) estimates for Riesz transforms, to appear in Math. Z.
    • Math. Z.
    • Blunck, S.1    Kunstmann, P.C.2
  • 7
    • 0000791589 scopus 로고
    • Weak type (1,1) bounds for rough operators II
    • [CR]
    • [CR] CHRIST, M., RUBIO DE FRANCIA, J. L.: Weak type (1,1) bounds for rough operators II. Invent. Math. 93 (1988), 225-237.
    • (1988) Invent. Math. , vol.93 , pp. 225-237
    • Christ, M.1    Rubio de Francia, J.L.2
  • 8
    • 0001431987 scopus 로고
    • Uniformly elliptic operators with measurable coefficients
    • [D1]
    • [D1] DAVIES, E. B.: Uniformly elliptic operators with measurable coefficients. J. Funct. Anal. 132 (1995), 141-169.
    • (1995) J. Funct. Anal. , vol.132 , pp. 141-169
    • Davies, E.B.1
  • 9
    • 0002721868 scopus 로고    scopus 로고
    • p regularity of self-adjoint elliptic operators
    • [D2]
    • p regularity of self-adjoint elliptic operators. J. Differential Equations 135 (1997), 83-102.
    • (1997) J. Differential Equations , vol.135 , pp. 83-102
    • Davies, E.B.1
  • 10
    • 0033240601 scopus 로고    scopus 로고
    • Singular integral operators with nonsmooth kernels on irregular domains
    • [DM]
    • [DM] DUONG, X. T., MCINTOSH, A.: Singular integral operators with nonsmooth kernels on irregular domains. Rev. Mat. Iberoamericana 15 (1999), no. 2, 233-265.
    • (1999) Rev. Mat. Iberoamericana , vol.15 , Issue.2 , pp. 233-265
    • Duong, X.T.1    McIntosh, A.2
  • 11
    • 0030602110 scopus 로고    scopus 로고
    • Semigroup kernels, Poisson bounds and holomorphic functional calculus
    • [DR]
    • [DR] DUONG, X. T., ROBINSON, D. W.: Semigroup kernels, Poisson bounds and holomorphic functional calculus. J. Funct. Anal. 142 (1996), 89 128.
    • (1996) J. Funct. Anal. , vol.142 , pp. 89-128
    • Duong, X.T.1    Robinson, D.W.2
  • 12
    • 0010954950 scopus 로고
    • Inequalities for strongly singular convolution operators
    • [F]
    • [F] FEFFERMAN, C.: Inequalities for strongly singular convolution operators. Acta Math. 124 (1970), 9-36.
    • (1970) Acta Math. , vol.124 , pp. 9-36
    • Fefferman, C.1
  • 14
    • 0003862232 scopus 로고
    • [K]. Grundlehren der mathematischen Wissenschaften, Band 132. Springer-Verlag, New York
    • [K] KATO, T.: Perturbation theory for linear operators. Grundlehren der mathematischen Wissenschaften, Band 132. Springer-Verlag, New York, 1966.
    • (1966) Perturbation Theory for Linear Operators
    • Kato, T.1
  • 15
    • 0000113149 scopus 로고
    • d) spaces generated by the differential expressions Δ + b ·∇
    • [KS]
    • d) spaces generated by the differential expressions Δ + b ·∇. Theory Probab. Appl. 35 (1990), 443-453.
    • (1990) Theory Probab. Appl. , vol.35 , pp. 443-453
    • Kovalenko, V.1    Semenov, Yu.2
  • 16
  • 18
    • 0036695915 scopus 로고    scopus 로고
    • 0-semigroups associated with second order elliptic operators II
    • [LSV]
    • 0-semigroups associated with second order elliptic operators II. J. Funct. Anal. 193 (2002), no. 1, 55-76.
    • (2002) J. Funct. Anal. , vol.193 , Issue.1 , pp. 55-76
    • Liskevich, V.1    Sobol, Z.2    Vogt, H.3
  • 20
    • 0030543859 scopus 로고    scopus 로고
    • Singular integral operators with rough convolution kernels
    • [S]
    • [S] SEEGER, A.: Singular integral operators with rough convolution kernels. J. Amer. Math. Soc. 9 (1996), 95 105.
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 95-105
    • Seeger, A.1
  • 21
    • 0010566198 scopus 로고
    • p-spectrum of generalized Schrödinger operators with form small negative part of the potential
    • [ScV]. Lecture Notes in Pure and Appl. Math. 150. Dekker, New York
    • p-spectrum of generalized Schrödinger operators with form small negative part of the potential. In Functional Analysis (Essen, 1991), 95-105. Lecture Notes in Pure and Appl. Math. 150. Dekker, New York, 1994.
    • (1994) Functional Analysis (Essen, 1991) , pp. 95-105
    • Schreieck, G.1    Voigt, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.