Skip to main content
Have a personal or library account? Click to login
Sharp Maximal Function Estimates and Boundedness for Commutator Related to Generalized Fractional Integral Operator Cover

Sharp Maximal Function Estimates and Boundedness for Commutator Related to Generalized Fractional Integral Operator

Open Access
|Jan 2013

References

  1. 1. D. C. Chang, J. F. Li, and J. Xiao, Weighted scale estimates for Calderon- Zygmund type operators,446, (2007), 61-70.
  2. 2. S. Chanillo, A note on commutators,31, (1982), 7-16.
  3. 3. W. G. Chen, Besov estimates for a class of multilinear singular integrals,16, (2000), 613-626.
  4. 4. F. Chiarenza and M. Frasca, Morrey spaces and Hardy-Littlewood maximal function,7, (1987), 273-279.
  5. 5. R. Coifman and R. Rochberg, Another characterization of BMO,79, (1980), 249-254.
  6. 6. R. R. Coifman, R. Rochberg, and G. Weiss, Fractorization theorems for Hardy spaces in several variables,103, (1976), 611-635.
  7. 7. G. Di FaZio and M. A. Ragusa, Commutators and Morrey spaces,5-A(7), (1991), 323-332.
  8. 8. G. Di Fazio and M. A. Ragusa, Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients,112, (1993), 241-256.
  9. 9. J. Garcia-Cuerva and J. L. Rubio de Francia,North-Holland Math., Amsterdam, 16, 1985.
  10. 10. S. Janson, Mean oscillation and commutators of singular integral operators,16, (1978), 263-270.
  11. 11. Y. Lin, Sharp maximal function estimates for Calderon-Zygmund type operators and commutators,, 31(A), (2011), 206-215.
  12. 12. L. Z. Liu, Interior estimates in Morrey spaces for solutions of elliptic equations and weighted boundedness for commutators of singular integral operators,25(B),(1), (2005), 89-94.
  13. 13. L. Z. Liu, The continuity of commutators on Triebel-Lizorkin spaces,49, (2004), 65-76.
  14. 14. L. Z. Liu, Triebel-Lizorkin space estimates for multilinear operators of sublinear operators,113, (2003), 379-393.
  15. 15. L. Z. Liu, Boundedness for multilinear Littlewood-Paley operators on Triebel- Lizorkin spaces,10(4), (2004), 603-614.
  16. 16. S. Z. Lu,HWorld Scientific, River Edge, NI, 1995.
  17. 17. T. Mizuhara, Boundedness of some classical operators on generalized Morrey spaces,(1990), 183-189.
  18. 18. B. Muckenhoupt and R. L. Wheeden, Weighted norm inequalities for fractional integral,192, (1974), 261-274.
  19. 19. M. Paluszynski, Characterization of the Besov spaces via the commutator operator of Coifman,44, (1995), 1-17.
  20. 20. J. Peetre, On convolution operators leaving L-spaces invariant,72, (1966), 295-304.
  21. 21. J. Peetre, On the theory of L-spaces,4, (1969), 71-87.
  22. 22. C. Perez, Endpoint estimate for commutators of singular integral operators,128, (1995), 163-185.
  23. 23. C. Perez and R. Trujillo-Gonzalez, Sharp weighted estimates for multilinear commutators,65, (2002), 672-692.
  24. 24. E. M. Stein,Princeton Univ. Press, Princeton NJ, 1993.
  25. 25. A. Torchinsky,Pure and Applied Math. 123, Academic Press, New York, 1986.
  26. 26. A. Torchinsky and S. Wang, A note on the Marcinkiewicz integral,60/61, (1990), 235-243.
DOI: https://doi.org/10.2478/v10324-012-0018-z | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 97 - 115
Published on: Jan 15, 2013
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

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