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VECTOR-VALUED INEQUALITIES FOR THE COMMUTATORS OF SINGULAR INTEGRALS WITH

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In this paper, we establish the vector-valued inequalities for the commutators of singular integrals with rough kernels. In particular, our results can essentially improve some well-known results.

Abstract

In this paper, we establish the vector-valued inequalities for the commutators of singular integrals with rough kernels. In particular, our results can essentially improve some well-known results.

참고문헌 (22)

  1. J. Alvarez, "Weighted estimates for commutators of linear operator", Studia Math, 104(2), pp.195~209 (1993)
  2. H. Al-Qassem, "Lp estimates for singular integrals with kernels belonging to certain block spaces", Rev. Mat. Iberoamericana, 18(3), pp.701~730 (2002)
  3. A. Al-Salman, "Singular integrals with rough kernels in Llog L(Sn-1)", J. London Math. Soc, 66(1), pp.153~174 (2002)
  4. K. Andersen, "Weighted inequalities for vector-valued maximal functions and singular integrals", Studia Math, 69(1), pp.19~31 (1981)
  5. A. P. Calderon, "On singular integrals", Amer. J. Math, 78, pp.289~309 (1956)
  6. Y. Chen, "Rough singular integrals on Triebel-Lizorkin space and Besov space", J. Math. Anal. Appl, 347(2), pp.493~501 (2008)
  7. J. Chen, "Boundedness of rough oscillatory singular integral on Triebel-Lizorkin spaces", J. Math, Anal. Appl, 306(2), pp.385~397 (2005)
  8. R. Coifman, "Avdela des operate pseudo-differentiles", Asterisque, 57, pp.1~185 (1978)
  9. J. Duoandikoetxea, "Weighted norm inequalities for homogeneous singular integrals", Trans. Amer. Math. Soc, 336(2), pp.869~880 (1993)
  10. J. Duoandikoetxea, "Maximal and singular integral operators via Fourier transform estimate", Invent. Math, 84(3), pp.541~561 (1986)
  11. C. Fefferman, "Some maximal inequalities", Amer. J. Math, 93, pp.107~115 (1971)
  12. J. Garcia-Cuerva, "Weighted Norm Inequalities and Related Topics" (1985)
  13. S. Hofmann, "Weighted norm inequalities and vector valued inequalities for certain rough operators", Indiana Univ. Math. J, 42(1), pp.1~14 (1993)
  14. Y. Hou, "Lp(Rn) boundedness for higher commutators of singular integrals with rough kernels belonging to certain block spaces", Math. Nachr, 282(5), pp.713~725 (2009)
  15. G. Hu, "Lp(Rn) boundedness for the commutators of homogeneous singular integral op- erators", Studia. Math, 154(1), pp.13~27 (2003)
  16. G. Hu, "Commutators of convolution operators", Acta. Math. Sinica, 42(2), pp.359~368 (1999)
  17. S. Lu, "Spaces Generated by Blocks" (1989), Beijing Normal Univer- sity Press
  18. S. Lu, "Oscillatory singular integrals and commutators with rough kernels", Ann. Sci. Math. Quebec, 27(1), pp.47~66 (2003)
  19. S. Lu, "Criterion on Lp-boundedness for a class of oscillatory singular integrals with rough kernels", Rev. Math. Iberoamericana, 8(2), pp.201~219 (1992)
  20. F. Ricci, "Harmonic analysis on nilpotent groups and singular integrals I: Oscillatory integrals", J. Funct. Anal, 73(1), pp.179~194 (1987)
  21. H. Triebel, "Theory of Function Spaces" (1983), Basel, Birkhauser
  22. D. Watson, "Vector-valued inequalities, factorization, and extrapolation for a family of rough operators", J. Funct. Anal, 121(2), pp.389~415 (1994)

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