SOME BILINEAR ESTIMATES

Title & Authors
SOME BILINEAR ESTIMATES
Chen, Jiecheng; Fan, Dashan;

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;
Language
English
Cited by
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Bilinear Calderón-Zygmund operators of type ω(t) on non-homogeneous space, Journal of Inequalities and Applications, 2014, 2014, 1, 113
2.
Rough bilinear fractional integrals with variable kernels, Frontiers of Mathematics in China, 2010, 5, 3, 369
3.
Bilinear integral operators with certain hypersingularities, Journal of Mathematical Analysis and Applications, 2017, 456, 1, 628
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