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http://dx.doi.org/10.4134/JKMS.2009.46.3.609

SOME BILINEAR ESTIMATES  

Chen, Jiecheng (DEPARTMENT OF MATHEMATICS ZHEJIANG UNIVERSITY)
Fan, Dashan (DEPARTMENT OF MATHEMATICS UNIVERSITY OF WISCONSIN-MILWAUKEE, HUAZHONG NORMAL UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.3, 2009 , pp. 609-620 More about this Journal
Abstract
We establish some estimates on the hyper bilinear Hilbert transform on both Euclidean space and torus. We also use a transference method to obtain a Kenig-Stein's estimate on bilinear fractional integrals on the n-torus.
Keywords
Hilbert transform; fractional integral; bilinear operators; Sobolev spaces;
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