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λ-中心Morrey空间上的Calderon-Zygmund算子的多线性交换子(英文) 被引量:9

Multilinear Commutators of Calderón-Zygmund Operator on λ-central Morrey Spaces
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摘要 作者研究得到了由Calderon-Zygmund算子和向量符号b=(b_1,b_1,…,b_m)产生的多线性交换子T_b^m在λ-中心Morrey空间上的有界性.进一步,建立了由多线性Calderon-Zygmund算子和λ-中心BMO函数产生的多线性交换子T_b^m在λ-中心Morrey乘积空间上的有界性. The authors obtain the boundedness onλ-central Morrey spaces B^(q,λ)(R^n) for the multilinear commutators T_b^m generated by the Calderon-Zygmund operator and vector symbols b =(b_1,b_1,…,b_m),where each b_i is aλ-central BMO function.Moreover,the boundedness on the product ofλ-central Morrey spaces for commutators T_b^m generated by the multilinear Calderon-Zygmund operator and theλ-central BMO functions is also founded.
出处 《数学进展》 CSCD 北大核心 2011年第1期47-59,共13页 Advances in Mathematics(China)
基金 supported in part by NSFC(No.10771110 and No.10471069) NSF of Ningbo City(No.2009A610084)
关键词 多线性交换子 CALDERON-ZYGMUND算子 λ-中心Morrey空间 λ-中心BMO空间 multilinear commutators Calderón-Zygmund operator A-central Morrey space λ-central BMO space
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  • 1LIN Yan LU Shanzhen.Toeplitz operators related to strongly singular Calderón-Zygmund operators[J].Science China Mathematics,2006,49(8):1048-1064. 被引量:8
  • 2Lu Shanzhen and Yang Dachun (Beijing Normal University, China).THE CENTRAL BMO SPACES AND LITTLEWOOD-PALEY OPERATORS[J].Analysis in Theory and Applications,1995,11(3):72-94. 被引量:50
  • 3Stein E M. Harmonic Analysis: Real Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton: Princeton University Press, 1993.
  • 4Grafakos L, Torres R. Multilinear Calderon-Zygmund theory, Adv Math, 2002, 165: 124-164.
  • 5Kenig C E, Stein E M. Multilinear estimates and fractional integration, Math Res Lett, 1999, 6: 1-15.
  • 6Lacey M, Thuele C. On Calderon's conjecture, Ann Math, 1999, 149: 475-496.
  • 7Tao X, Wang H. On the Neumann problem for the Schrodinger equations with singular potentials in Lipschitz domains, Canad J Math, 2004, 56(3): 655-672.
  • 8Shen Z. Boundary value problems in Morrey spaces for elliptic systems on Lipschitz domains, Amer J Math, 2003, 125: 1079-1115.
  • 9Herz C. Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transform, J Math Mech, 1968, 18: 283-324.
  • 10Lu S, Xu L. Boundedness of rough singular integral operators on homogeneous Morrey-Herz spaces, Hokkaido Math J, 2005, 34: 299-314.

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