Have a personal or library account? Click to login
Continuity for Multilinear Commutator of Singular Integral Operator with General Kernel on Besov Spaces Cover

Continuity for Multilinear Commutator of Singular Integral Operator with General Kernel on Besov Spaces

Open Access
|Aug 2013

References

  1. [1] D. C. Chang, J. F. Li, and J. Xiao, Weighted scale estimates for Calderón-Zygmund type operators, Contemporary Mathematics, 446 (2007), 61-70.10.1090/conm/445/08593
  2. [2] W. G. Chen, Besov estimates for a class of multilinear singular integrals, Acta Math. Sinica, 16 (2000), 613-626.10.1007/s101140000059
  3. [3] R. R. Coifman, R. Rochberg, and G. Weiss, Fractorization theorems for Hardy spaces in several variables, Ann. of Math., 103(1976), 611-635.10.2307/1970954
  4. [4] J. Garcia-Cuerva and J. L. Rubio de Francia, Weighted norm inequalities and related topics, North-Holland Math. 116, Amsterdam, 1985.
  5. [5] S. Guo, C. X. Huang, and L. Z. Liu, Boundedness for multilinear commutator of singular integral operator with weighted Lipschitz functions, to appear.
  6. [6] S. Janson, Mean oscillation and commutators of singular integral operators, Ark. Math., 16 (1978), 263-270.10.1007/BF02386000
  7. [7] Y. Lin, Sharp maximal function estimates for Calderón-Zygmund type operators and commutators, Acta Math. Scientia, 31 (A), (2011), 206-215.
  8. [8] M. Paluszynski, Characterization of the Besov spaces via the commutator operator of Coifman, 44 (1995), 1-17.
  9. [9] C. Pérez, Endpoint estimate for commutators of singular integral operators, J. Func. Anal., 128 (1995), 163-185.10.1006/jfan.1995.1027
  10. [10] C. Pérez and G. Pradolini, Sharp weighted endpoint estimates for commutators of singular integral operators, Michigan Math. J., 49 (2001), 23-37.
  11. [11] Pérez C. and R. Trujillo-Gonzalez, Sharp Weighted estimates for multilinear commutators, J. London Math. Soc., 65 (2002), 672-692.10.1112/S0024610702003174
  12. [12] E. M. Stein, Harmonic analysis: real variable methods, orthogonality and oscillatory integrals, Princeton Univ. Press, Princeton NJ, 1993.
  13. [13] D. C. Yang, The central Campanato spaces and its applications, Approx. Theory and Appl., 10 (4), (1994), 85-99.
DOI: https://doi.org/10.2478/awutm-2013-0004 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 47 - 62
Published on: Aug 14, 2013
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2013 Sheng Guo, Chuangxia Huang, Lanzhe Liu, published by West University of Timisoara
This work is licensed under the Creative Commons License.