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具有Hardy核的抛物型奇异积分在Triebel-Lizorkin空间上的有界性(英文)

Boundedness for Parabolic Singular Integral With Hardy Kernels on Triebel-Lizorkin Spaces
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摘要 在粗糙核Ω∈H^1(S^(n-1))的条件下得到了抛物型奇异积分在Triebel-Lizorkin空间上的有界性. In this paper, the authors give the boundedness on Triebel-Lizorkin spaces for the parabolic singular integral with rough kernel Ω∈H^1 (S^n-1).
出处 《数学进展》 CSCD 北大核心 2012年第6期679-692,共14页 Advances in Mathematics(China)
基金 Supported in part by NSFC(No.11161042,No.11071250)
关键词 抛物型奇异积分 Triebel—Lizorkin空间 粗糙核 parabolic singular integral Triebel-Lizorkin space rough kernel
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  • 1Fabes, E., Riviere, N.: Singular integrals with mixed homogeneity. Studia Math., 27, 19-38 (1966).
  • 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).
  • 4Nagel, A., Rivi~re, N.: On Hilbert transform along curves, Ⅱ. Amer. J. Math., 98, 395-403 (1976).
  • 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).
  • 7Calderon, A. P.: Singular integrals. Bull. Amer. Math. Soc., 72, 427-465 (1966).
  • 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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