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Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces 被引量:2

Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces
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摘要 Let α≥ 0 and 0 〈 ρ ≤ n/2, the boundedness of hypersingular parameterized Marcinkiewicz integrals μΩ,α^ρ with variable kernels on Sobolev spaces Lα^ρ and HardySobolev spaces Hα^ρ is established. Let α≥ 0 and 0 〈 ρ ≤ n/2, the boundedness of hypersingular parameterized Marcinkiewicz integrals μΩ,α^ρ with variable kernels on Sobolev spaces Lα^ρ and HardySobolev spaces Hα^ρ is established.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第4期420-430,共11页 高校应用数学学报(英文版)(B辑)
基金 Supported by the National Natural Science Foundation of China(10571156 10871173)
关键词 parameterized Marcinkiewicz integral variable kernel Hardy-Sobolev space L^α-Dini condition parameterized Marcinkiewicz integral, variable kernel, Hardy-Sobolev space, L^α-Dini condition
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  • 1[1]Chen,J.,Fan,D.,Ying,Y.,Certain operators with singular kernels,Canadian Math.J.,2003,55:504-532.
  • 2[2]Calderón,A.P.,Zygmund,A.,On existence of certain singular integrals,Acta Math.,1952,88:85-139.
  • 3[3]Calderón,A.P.,Zygmund,A.,On singular integrals,Amer.J.Math.,1956,78:289-309.
  • 4[4]Calderón,A.P.,Zygmund,A.,On singular integral with variable kernels,Appl.Anal.,1978,7:221-238.
  • 5[5]Christ,M.,Duoandikoetxea,J.,Rubio de Francia,J.L.,Maximal operators related to the Radon transform and the Calderón-Zygmund method of rotations,Duke Math.J.,1986,53:189-208.
  • 6[6]Chen,J.,Ding,Y.,Fan,D.,On a Hyper-Hilbert transform,Chinese.Ann.Math (B),2003,24:475-484.
  • 7[7]Stein,E.M.,Singular Integrals and Differentiability Properties of Functions,Princeton:Princeton Univ.Press,1970.
  • 8[8]Ding,Y.,Lin,C.,Shao,S.,On Marcinkiewicz integral with variable kernels,Indiana.Univ.Math.Jour.,2004,53:805-822.
  • 9[9]Ding,Y.,Fan,D.,Pan,Y.,Littlewood-Paley functions and singular integrals,Hokkaido Math.J.,2000,29:537-552.
  • 10[10]Stein,E.M.,Weiss,G.,Introduction to Fourier Analysis on Euclidean Spaces,Princeton:Princeton Univ.Press,1971.

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