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Commutator of Hypersingular Integral with Rough Kernels on Sobolev Spaces

Commutator of Hypersingular Integral with Rough Kernels on Sobolev Spaces
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摘要 In this paper, the authors give the boundedness of the commutator of hypersingular integral T γ from the homogeneous Sobolev space Lpγ (Rn) to the Lebesgue space Lp(Rn) for 1 In this paper, the authors give the boundedness of the commutator of hypersingular integral T γ from the homogeneous Sobolev space Lpγ (Rn) to the Lebesgue space Lp(Rn) for 1
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第6期1043-1054,共12页 数学学报(英文版)
基金 supported by National Natural Science Foundation of China (Grant No. 10901017) Program for New Century Excellent Talents in University of China (Grant No. NCET-11-0574) the Fundamental Research Funds for the Central Universities supported by National Natural Science Foundation of China (Grant No. 10931001) the Research Fund for the Dectoral Program of Higher Education of China (Grant No. 20090003110018) Program for Changjiang Scholars and Innovative Research Team in University of China
关键词 Hypersingular integral paraproduct COMMUTATOR Sobolev space Hypersingular integral, paraproduct, commutator, Sobolev space
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参考文献13

  • 1Calderon, A. P., Zygmund, A.: On singular integral. Amer. J. Math., 18, 289-309 (1956).
  • 2Wheeden, R. L.: On hypersingular integrals and Lebesgue spaces of differentiable functions. Trans. Arner. Math. Soc., 134, 421-436 (1968).
  • 3Chen, J., Fan, D., Ying, Y.: Certain operators with rough singular kernels. Canadian J. Math., 55, 504-532 (2003).
  • 4Coifman, R., Rochberg, R., Weiss, G.: Factorization theorems for Hardy spaces in several variables. Ann. of Math., 103, 611-635 (1976).
  • 5Alvarez, J., Bagby, R., Kurtz, D., et al.: Weighted estimates for commutators of linear operators. Studia Math., 104, 195-209 (1993).
  • 6Duoandikoetxea, J.: Weighted norm inequalities for homogeneous singular integrals. Trans. Amer. Math. Soc., 336, 869 880 (1993).
  • 7Hu, G.: LP(Rn) boundedness for the commutator of a homogeneous singular integral operator. Studia Math., 154, 13-27 (2003).
  • 8Ma, B., Hu, C.: Maximal operators associated with commutators of spherical means. Tohoku Math. J., 50, 349 363 (1998).
  • 9Frazier, M., Jawerth, B., Weiss, G.: Littlewood-Paley Theory and the Study of Function Spaces, CBMS Reg. Conf. Ser. 79, Amer. Math. Soc., Providence, RI, 1991.
  • 10Frazier, M., Jawerth, B.: A discrete transform and applications to distribution spaces. J. Funct. Anal., 93, 34-170 (1990).

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