Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2009; 46(3): 609-620

Printed May 1, 2009

https://doi.org/10.4134/JKMS.2009.46.3.609

Copyright © The Korean Mathematical Society.

Some bilinear estimates

Jiecheng Chen and Dashan Fan

Zhejiang University and University of Wisconsin-Milwaukee

Abstract

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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

MSC numbers: 42B15, 42B25

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