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A CHARACTERIZATION FOR FRACTIONAL INTEGRALS ON GENERALIZED MORREY SPACES 被引量：1

A CHARACTERIZATION FOR FRACTIONAL INTEGRALS ON GENERALIZED MORREY SPACES
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摘要 This paper concerns with the fractional integrals, which are also known as the Riesz potentials. A characterization for the boundedness of the fractional integral operators on generalized Morrey spaces will be presented. Our results can be viewed as a refinement of Nakai＇s. This paper concerns with the fractional integrals, which are also known as the Riesz potentials. A characterization for the boundedness of the fractional integral operators on generalized Morrey spaces will be presented. Our results can be viewed as a refinement of Nakai＇s.
作者 Eridani M.I.Utoyo H.Gunawan
机构地区 Airlangga University Bandung Institute of Technology
出处 《Analysis in Theory and Applications》 2012年第3期263-268,共6页 分析理论与应用（英文刊）
关键词 fractional integrals Morrey spaces fractional integrals, Morrey spaces
分类号 O177.6 [理学—基础数学]
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参考文献13

  • 1Adams, D. R., "A Note on Riesz Potentials", Duke Math. J., 42(1975), 765-778.
  • 2Chiarenza, F. a~id Frasca, M., Morrey Spaces and Hardy-Littlewood Maximal Function', Rend. Mat., 7(1987), 273-279.
  • 3Eridani, H. Gunawan, and Nakai, E., On Generalized Fractional Integral Operators, Sci. Math. J., 60(2004), 539-50.
  • 4Gunawan, H. and Eridani, Fractional Integrals and Generalized Olsen Inequalities, Kyungpook Math. J., 49(2009), 31-39.
  • 5Hardy, G. H. and Littlewood, J. E., Some Properties of Fractional Integrals. I, Math. Zeit., 27(1927), 565-606.
  • 6Hardy, G. H. and Littlewood, J. E., Some Properties of Fractional Integrals. Ⅱ, Math. Zeit., 34(1932), 403-439.
  • 7Nakai, E., Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Gen- eralized Morrey Spaces, Math. Nachr., 166(1994), 95-103.
  • 8Peetre, J., On the Theory of ,p,Z Spaces, J. Funct. Anal., 4(1969), 71-87.
  • 9Sawano, Y., Generalized Morrey Spaces for Non-doubling Measures, Non-linear Differential Equations and Applications, 15(2008), 413-425.
  • 10Sobolev, S. L., On a Theorem in Functional Analysis (Russian), Mat. Sob., 46(1938), 471-497 [English trans- lation in Amer. Math. Soc. Transl. ser. 2, 34 (1963), 39-68].

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Analysis in Theory and Applications
2012年 第3期

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