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Continuity For Multilinear Marcinkiewicz Operator on Triebel-Lizorkin Spaces Cover

Continuity For Multilinear Marcinkiewicz Operator on Triebel-Lizorkin Spaces

Annals of West University of Timisoara - Mathematics and Computer Science
Volume 50 (2012): Issue 1 (November 2012)
By:   
Open Access
|Nov 2012
References

References

  1. [1] S. Chanillo, A note on commutators, Indiana Univ. Math. J., 31, (1982), 7-16.
    Open DOISearch in Google Scholar
  2. [2] W. G. Chen, Besov estimates for a class of multilinear singular integrals, Acta Math. Sinica, 16, (2000), 613-626.
    Open DOISearch in Google Scholar
  3. [3] J. Cohen, A sharp estimate for a multilinear singular integral on Rn, Indiana Univ. Math. J., 30, (1981), 693-702.
    Open DOISearch in Google Scholar
  4. [4] J. Cohen and J. Gosselin, On multilinear singular integral operators on Rn, Studia Math., 72, (1982), 199-223.
    Open DOISearch in Google Scholar
  5. [5] J. Cohen and J. Gosselin, A BMO estimate for multilinear singular integral operators, Illinois J. Math., 30, (1986), 445-465.
    Open DOISearch in Google Scholar
  6. [6] R. Coifman, R. Rochberg, and G. Weiss, Factorization theorems for Hardy spaces in several variables, Ann. of Math., 103, (1976), 611-635.
    Open DOISearch in Google Scholar
  7. [7] R. A. DeVore and R. C. Sharpley, Maximal functions measuring smoothness, Mem. Amer. Math. Soc., 47, 1984.
    Open DOISearch in Google Scholar
  8. [8] Y. Ding and S. Y. Lu, Weighted boundedness for a class rough multilinear operators, Acta Math. Sinica, 17, (2001), 517-526.
    Open DOISearch in Google Scholar
  9. [9] Y. Ding, S. Z. Lu, and Q. Xue, On Marcinkiewicz integral with homogeneous kernels, J. Math. Anal. Appl., 245, (2000), 471-488.
    Open DOISearch in Google Scholar
  10. [10] S. Janson, Mean oscillation and commutators of singular integral operators, Ark. Math., 16, (1978), 263-270.
    Open DOISearch in Google Scholar
  11. [11] S. Janson, M. Taibleson, and G. Weiss, Elementary characterizations of the Morrey-Campanato spaces, Lect. Notices in Math., 992, (1983), 101-114.
    Open DOISearch in Google Scholar
  12. [12] L. Z. Liu, Boundedness for multilinear Marcinkiewicz Operators on certain Hardy Spaces, Inter. J. of Math. and Math. Sci., 2, (2003), 87-96.
    Open DOISearch in Google Scholar
  13. [13] M. Paluszynski, Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss, 44, (1995), 1-17.
    Open DOISearch in Google Scholar
  14. [14] A. Torchinsky, The real variable methods in harmonic analysis, Pure and Applied Math., Academic Press, New York, 123, 1986.
    Search in Google Scholar
  15. [15] A. Torchinsky and S. Wang, A note on the Marcinkiewicz integral, Colloq. Math., 60/61, (1990), 235-243.
    Open DOISearch in Google Scholar
  16. [16] H. Triebel, Theory of Function spaces, Leipzig, Basel, Birkhauser, 1983.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/v10324-012-0008-1 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
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Language: English
Page range: 91 - 102
Published on: Nov 22, 2012
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
Keywords:
Marcinkiewicz integral operator,
Multilinear operators,
Triebel-Lizorkin space,
Lipschitz space.
Related subjects:
Mathematics,
General mathematics

© 2012 Tong Qingshan, published by West University of Timisoara
This work is licensed under the Creative Commons License.

Volume 50 (2012): Issue 1 (November 2012)
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