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Multilinear Fractional Integrals on Morrey Spaces 被引量：4

Multilinear Fractional Integrals on Morrey Spaces
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摘要 In the present paper we obtain and extend the boundedness property of the Adams type for multilinear fractional integral operators. Also, we deal with the Olsen type inequality. In the present paper we obtain and extend the boundedness property of the Adams type for multilinear fractional integral operators. Also, we deal with the Olsen type inequality.
作者 Takeshi IIDA Enji SATO Yoshihiro SAWANO Hitoshi TANAKA
机构地区 Department of Mathematical Sciences Department of Mathematics Graduate School of Mathematical Sciences
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第7期1375-1384,共10页 数学学报（英文版）
基金 supported financially by Grant-in-Aid for Young Scientists (B) (Grant No. 21740104), Japan Society for the Promotion of Science
关键词 Multilinear fractional integral operators Morrey spaces Multilinear fractional integral operators, Morrey spaces
分类号 O177 [理学—基础数学]
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参考文献21

  • 1Chiarenza, F., Frasca, M.: Morrey spaces and Hardy Littlewood maximal function. Rend. Math. Appl., 7, 273-279 (1987).
  • 2Olsen, A.: Fractional integration, Morrey spaces and a SchrSndinger equation. Commun. Partial Differential Equations, 20(11 12), 2005-2055 (1995).
  • 3Adams, D. R.: A note on Riesz potentials. Duke Math. J., 42, 765-778 (1975).
  • 4Tang, L.: Endpoint estimates for multilinear fractional integrals. J. Austral. Math. Soc., 84, 419-429 (2008).
  • 5Kenig, C., Stein, E.: Multilinear estimates and fractional integration. Math. Res. Lett., 6, 1-15 (1999).
  • 6Lacey, M.: On Calderon's conjecture. Ann. of Math. (2), 149(2), 475 496 (1999).
  • 7Lacey, M.: The bilinear maximal functions map into L^p for 2/3 < p ≤ 1. Ann. of Math. (2), 151(1), 35-57 (2000).
  • 8Lacey, M., Thiele, C.: On Calderon's conjecture for the bilinear Hilbert transform. Proc. Natl. Acad. Sci. USA, 95(9), 4828-4830 (1998).
  • 9Iida, T.: A characterization of a multiple weights class. Tokyo J. Math., accepted.
  • 10Iida, T., Komori-Furuya, Y., Sato, E.: A note on multilinear fractional integrals (English summary). Anal. Theory Appl., 26(4), 301-307 (2010).

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Acta Mathematica Sinica,English Series
2012年 第7期

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