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Boundedness for Parabolic Singular Integral with Rough Kernels and Its Commutators on Triebel-Lizorkin Spaces 被引量：8

Boundedness for Parabolic Singular Integral with Rough Kernels and Its Commutators on Triebel-Lizorkin Spaces
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摘要 In this paper, the authors give the boundedness on Triebel-Lizorkin spaces for the parabolic singular integral with rough kernel and its commutator. In this paper, the authors give the boundedness on Triebel-Lizorkin spaces for the parabolic singular integral with rough kernel and its commutator.
作者 Shuang Ping TAO Yao Ming NIU
机构地区 College of Mathematics and Information Science Faculty of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第9期1783-1802,共20页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China （Grant No. 11071250） NWNU-KJCXGC-3-47 The authors would like to express their deep thanks to the referee for his/her very careful reading and many valuable comments and suggestions
关键词 Parabolic singular integral Triebel-Lizorkin spaces COMMUTATOR parabolic BMO Parabolic singular integral, Triebel-Lizorkin spaces, commutator, parabolic BMO
分类号 O172.2 [理学—基础数学] O182.1 [理学—基础数学]
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参考文献27

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  • 2Palagachev, D., Softova, L.: Singular integral operators, Morrey spaces and fine regularity of solution to PDE's. Potential Anal., 20, 237-263 (2004).
  • 3Macias, R., Segovia, C.: Weighted norm inequalities for parabolic fractional integrals. Studia Math., 49, 279-291 (1977).
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  • 5Hung Viet, L.: singular integrals with mixed homogeneity Triebel-Lizorkin spaces. J. Math. Anal. Appl., 345, 903-916 (2008).
  • 6Chen, Y., Ding, Y.: L^p Bounds for the commutator of parabolic singular integral with rough kernel. Potential Anal., 27, 313-334 (2007).
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  • 8Chen, J., Fan, D.: Singular integral operators on function spaces, J. Math. Anal. Appl., 276, 691-708 (2002).
  • 9Grafakos, L., Stefanov, A.: L^p bounds for singular integral and maximal singular integrals with rough kernels. Indiana Univ. Math. J., 31, 877-888 (2001).
  • 10Tao, S., Feng, J.: The weak-type estimates for a class of multilinear singular integral operators. Acta Mathematiea Siniea, Chinese Series, 52, 515-522 (2009).

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Acta Mathematica Sinica,English Series
2011年 第9期

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