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2014 Criterion on Lp1×Lp2Lq-Boundedness for Oscillatory Bilinear Hilbert Transform
Zuoshunhua Shi, Dunyan Yan
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/712051

Abstract

We investigate the bilinear Hilbert transform with oscillatory factors and the truncated bilinear Hilbert transform. The main result is that the Lp1×Lp2Lq-boundedness of the two operators is equivalent with 1p1,p2 <, and 1/q=1/p1+1/p2. In addition, we also discuss the boundedness of a variant operator of bilinear Hilbert transform with a nontrivial polynomial phase.

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Zuoshunhua Shi. Dunyan Yan. "Criterion on Lp1×Lp2Lq-Boundedness for Oscillatory Bilinear Hilbert Transform." Abstr. Appl. Anal. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/712051

Information

Published: 2014
First available in Project Euclid: 2 October 2014

MathSciNet: MR3176767
Digital Object Identifier: 10.1155/2014/712051

Rights: Copyright © 2014 Hindawi

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