Geodesic
The method of rotation and Marcinkiewicz integrals on product domains
Jiecheng Chen1 ; Dashan Fan2 ; Yiming Ying3
1 Department of Mathematics Zhejiang University (Xixi Campus) 310028 Hangzhou, P.R. China
2 Department of Mathematics University of Wisconsin-Milwaukee Milwaukee, WI 53201, U.S.A.
3 Department of Mathematics Zhejiang University (Xixi Campus) 310028 Hangzhou, P. R. China
Studia Mathematica, Tome 153 (2002) no. 1, pp. 41-58 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm153-1-4
Keywords: rather weak sufficient condition boundedness marcinkiewicz integral operator mit omega product spaces mathbb times mathbb infty which improves extends known results

Jiecheng Chen 1 ; Dashan Fan 2 ; Yiming Ying 3

1 Department of Mathematics Zhejiang University (Xixi Campus) 310028 Hangzhou, P.R. China
2 Department of Mathematics University of Wisconsin-Milwaukee Milwaukee, WI 53201, U.S.A.
3 Department of Mathematics Zhejiang University (Xixi Campus) 310028 Hangzhou, P. R. China 
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     title = {The method of rotation and
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Jiecheng Chen; Dashan Fan; Yiming Ying. The method of rotation and
 Marcinkiewicz integrals on product domains. Studia Mathematica, Tome 153 (2002) no. 1, pp. 41-58. doi: 10.4064/sm153-1-4

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