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The method of rotation and Marcinkiewicz integrals on product domains

Tom 153 / 2002

Jiecheng Chen, Dashan Fan, Yiming Ying Studia Mathematica 153 (2002), 41-58 MSC: Primary 42B20; Secondary 42B25. DOI: 10.4064/sm153-1-4

Streszczenie

We give some rather weak sufficient condition for $L^p$ boundedness of the Marcinkiewicz integral operator $\mu _{\mit \Omega } $ on the product spaces ${\mathbb R}^n\times {\mathbb R}^m$ ($1< p< \infty $), which improves and extends some known results.

Autorzy

  • Jiecheng ChenDepartment of Mathematics
    Zhejiang University (Xixi Campus)
    310028 Hangzhou, P.R. China
    e-mail
  • Dashan FanDepartment of Mathematics
    University of Wisconsin-Milwaukee
    Milwaukee, WI 53201, U.S.A.
    e-mail
  • Yiming YingDepartment of Mathematics
    Zhejiang University (Xixi Campus)
    310028 Hangzhou, P. R. China
    e-mail

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