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Boundedness of multilinear singular integral operators on the homogeneous Morrey–Herz spaces

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Ukrainian Mathematical Journal Aims and scope

A boundedness result is established for multilinear singular integral operators on the homogeneous Morrey–Herz spaces. As applications, two corollaries about interesting cases of the boundedness of the considered operators on the homogeneous Morrey–Herz spaces are obtained.

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References

  1. B. Muckenhoupt and R. L. Wheeden, “Weighted norm inequalities for singular and fractional integrals,” Trans. Amer. Math. Soc., 161, 249–258 (1971).

    Article  MATH  MathSciNet  Google Scholar 

  2. J. Duoandikoetxea, “Weighted norm inequalities for homogeneous singular integrals,” Trans. Amer. Math. Soc., 336, 869–880 (1993).

    Article  MATH  MathSciNet  Google Scholar 

  3. S. Z. Lu and L. F. Xu, “Boundedness of rough singular integral operators on the homogeneous Morrey–Herz spaces,” Hokkaido Math. J., 34, No. 2, 299–314 (2005).

    MATH  MathSciNet  Google Scholar 

  4. J. Cohen and J. Gosselin, “A BMO estimate for multilinear singular integral,” Ill. J. Math., 30, 445–464 (1986).

    MATH  MathSciNet  Google Scholar 

  5. L. F. Xu, “Boundedness of multilinear singular integral operators on the homogeneous Herz spaces,” J. Beijing Normal Univ. (Natur. Sci.), 40, No. 3, 297–303 (2004).

    MATH  Google Scholar 

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 10, pp. 1434–1440, October, 2009.

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Wu, J. Boundedness of multilinear singular integral operators on the homogeneous Morrey–Herz spaces. Ukr Math J 61, 1684–1693 (2009). https://doi.org/10.1007/s11253-010-0306-x

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  • DOI: https://doi.org/10.1007/s11253-010-0306-x

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