Sharp Maximal Function Estimates and Boundedness for Commutator Related to Generalized Fractional Integral Operator
By: Guo Sheng, Huang Chuangxia and Liu Lanzhe
Open Access
|Jan 2013
References
- 1. D. C. Chang, J. F. Li, and J. Xiao, Weighted scale estimates for Calderon- Zygmund type operators,446, (2007), 61-70.
- 2. S. Chanillo, A note on commutators,31, (1982), 7-16.
- 3. W. G. Chen, Besov estimates for a class of multilinear singular integrals,16, (2000), 613-626.
- 4. F. Chiarenza and M. Frasca, Morrey spaces and Hardy-Littlewood maximal function,7, (1987), 273-279.
- 5. R. Coifman and R. Rochberg, Another characterization of BMO,79, (1980), 249-254.
- 6. R. R. Coifman, R. Rochberg, and G. Weiss, Fractorization theorems for Hardy spaces in several variables,103, (1976), 611-635.
- 7. G. Di FaZio and M. A. Ragusa, Commutators and Morrey spaces,5-A(7), (1991), 323-332.
- 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. J. Garcia-Cuerva and J. L. Rubio de Francia,North-Holland Math., Amsterdam, 16, 1985.
- 10. S. Janson, Mean oscillation and commutators of singular integral operators,16, (1978), 263-270.
- 11. Y. Lin, Sharp maximal function estimates for Calderon-Zygmund type operators and commutators,, 31(A), (2011), 206-215.
- 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. L. Z. Liu, The continuity of commutators on Triebel-Lizorkin spaces,49, (2004), 65-76.
- 14. L. Z. Liu, Triebel-Lizorkin space estimates for multilinear operators of sublinear operators,113, (2003), 379-393.
- 15. L. Z. Liu, Boundedness for multilinear Littlewood-Paley operators on Triebel- Lizorkin spaces,10(4), (2004), 603-614.
- 16. S. Z. Lu,HWorld Scientific, River Edge, NI, 1995.
- 17. T. Mizuhara, Boundedness of some classical operators on generalized Morrey spaces,(1990), 183-189.
- 18. B. Muckenhoupt and R. L. Wheeden, Weighted norm inequalities for fractional integral,192, (1974), 261-274.
- 19. M. Paluszynski, Characterization of the Besov spaces via the commutator operator of Coifman,44, (1995), 1-17.
- 20. J. Peetre, On convolution operators leaving L-spaces invariant,72, (1966), 295-304.
- 21. J. Peetre, On the theory of L-spaces,4, (1969), 71-87.
- 22. C. Perez, Endpoint estimate for commutators of singular integral operators,128, (1995), 163-185.
- 23. C. Perez and R. Trujillo-Gonzalez, Sharp weighted estimates for multilinear commutators,65, (2002), 672-692.
- 24. E. M. Stein,Princeton Univ. Press, Princeton NJ, 1993.
- 25. A. Torchinsky,Pure and Applied Math. 123, Academic Press, New York, 1986.
- 26. A. Torchinsky and S. Wang, A note on the Marcinkiewicz integral,60/61, (1990), 235-243.
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
Keywords:
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© 2013 Guo Sheng, Huang Chuangxia, Liu Lanzhe, published by West University of Timisoara
This work is licensed under the Creative Commons License.