L Bounds for Singular Integrals and Maximal Singular Integrals with Rough Kernels

نویسندگان

  • LOUKAS GRAFAKOS
  • ATANAS STEFANOV
چکیده

Convolution type Calderón-Zygmund singular integral operators with rough kernels p.v. Ω(x)/|x| are studied. A condition on Ω implying that the corresponding singular integrals and maximal singular integrals map L → L for 1 < p < ∞ is obtained. This condition is shown to be different from the condition Ω ∈ H1(Sn−1).

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تاریخ انتشار 1998