메뉴 건너뛰기
Proceedings of the American Mathematical Society
Volumn 132, Issue 12, 2004, Pages 3549-3557
On commutators of fractional integrals
Author keywords

BMO; Commutator; Fractional integrals; Gaussian bound
Indexed keywords

EID: 10044295816     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07437-4     Document Type: Conference Paper
Times cited : (45)
References (14)
  • 1
    • 0001861262 scopus 로고    scopus 로고
    • Gaussian estimates for second order elliptic operators with boundary conditions
    • [AE] MR 98k:47094
    • [AE] W. Arendt and A.F.M. ter Elst, Gaussian estimates for second order elliptic operators with boundary conditions, J. Operator Theory 38 (1997), 87-130. MR 98k:47094
    • (1997) J. Operator Theory , vol.38 , pp. 87-130
    • Arendt, W.1    Ter Elst, A.F.M.2
  • 2
    • 0000914489 scopus 로고
    • Paradifferential operators and commutator estimates
    • [ATa] MR 96j:47047
    • [ATa] P. Auscher and M.E. Taylor, Paradifferential operators and commutator estimates, Comm. PDE, 20 (1995), 1743-1775. MR 96j:47047
    • (1995) Comm. PDE , vol.20 , pp. 1743-1775
    • Auscher, P.1    Taylor, M.E.2
  • 3
    • 0000740667 scopus 로고    scopus 로고
    • Square root problem for divergence operators and related topics
    • [AT] Soc. Math. France, MR 2000c:47092
    • [AT] P. Auscher and P. Tchamitchian, Square root problem for divergence operators and related topics, Astérisque, 249, Soc. Math. France, 1998. MR 2000c:47092
    • (1998) Astérisque , vol.249
    • Auscher, P.1    Tchamitchian, P.2
  • 4
    • 0002171275 scopus 로고
    • A note on commutators
    • [Ch] MR 84j:42027
    • [Ch] S. Chanillo, A note on commutators, Indiana Univ. Math. J., 31 (1982), 7-16. MR 84j:42027
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 7-16
    • Chanillo, S.1
  • 5
    • 0000278701 scopus 로고
    • Factorization theorem for Hardy spaces in several variables
    • [CRW] MR 54:843
    • [CRW] R.R. Coifman, R. Rochberg and G. Weiss, Factorization theorem for Hardy spaces in several variables, Ann. of Math., 103 (1976), 611-635. MR 54:843
    • (1976) Ann. of Math. , vol.103 , pp. 611-635
    • Coifman, R.R.1    Rochberg, R.2    Weiss, G.3
  • 6
    • 0033240601 scopus 로고    scopus 로고
    • Singular integral operators with non-smooth kernels on irregular domains
    • [DM] MR 2001e:42017a
    • [DM] X.T. Duong and A. McIntosh, Singular integral operators with non-smooth kernels on irregular domains, Rev. Mat. Iberoamericana, 16 (1999), 233-265. MR 2001e:42017a
    • (1999) Rev. Mat. Iberoamericana , vol.16 , pp. 233-265
    • Duong, X.T.1    McIntosh, A.2
  • 7
    • 0038587624 scopus 로고    scopus 로고
    • Commutators of BMO functions and singular integral operators with non-smooth kernels on homogeneous spaces
    • [DY] MR 2004d:42031
    • [DY] X.T. Duong and L.X. Yan, Commutators of BMO functions and singular integral operators with non-smooth kernels on homogeneous spaces, Bull. Austra. Math. Soc., 67 (2003), 187-200. MR 2004d:42031
    • (2003) Bull. Austra. Math. Soc. , vol.67 , pp. 187-200
    • Duong, X.T.1    Yan, L.X.2
  • 8
    • 0011020287 scopus 로고
    • Mean oscillation and commutators of singular integrals operators
    • [Ja] MR 80j:42034
    • [Ja] S. Janson, Mean oscillation and commutators of singular integrals operators, Ark. Mat., 16 (1978), 263-270. MR 80j:42034
    • (1978) Ark. Mat. , vol.16 , pp. 263-270
    • Janson, S.1
  • 9
    • 84990617895 scopus 로고
    • Commutator estimates and the Euler and Navier-Stokes equations
    • [KP] MR 90f:35162
    • [KP] T. Kato and G. Ponce, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math., 41 (1988), 891-907. MR 90f:35162
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 891-907
    • Kato, T.1    Ponce, G.2
  • 10
    • 1842584258 scopus 로고    scopus 로고
    • Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
    • [M]
    • [M] J.M. Martell, Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications, Studio Math., 161 (2004), 113-145.
    • (2004) Studio Math. , vol.161 , pp. 113-145
    • Martell, J.M.1
  • 11
    • 0001196755 scopus 로고
    • p for magnetic Schrödinger operators
    • [Sh] MR 97k:35043
    • p for magnetic Schrödinger operators, Indiana Univ. Math. J., 45 (1995), 817-841. MR 97k:35043
    • (1995) Indiana Univ. Math. J. , vol.45 , pp. 817-841
    • Shen, Z.1
  • 12
    • 0002596898 scopus 로고
    • Maximal and minimal Schrödinger forms
    • [Si] MR 81m:35104
    • [Si] B. Simon, Maximal and minimal Schrödinger forms, J. Op. Theory, 1 (1979), 37-47. MR 81m:35104
    • (1979) J. Op. Theory , vol.1 , pp. 37-47
    • Simon, B.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.