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Criterion on Lp1×Lp2→Lq‐Boundedness for Oscillatory Bilinear Hilbert Transform

Zuoshunhua Shi and Dunyan Yan

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We investigate the bilinear Hilbert transform with oscillatory factors and the truncated bilinear Hilbert transform. The main result is that the Lp1×Lp2→Lq‐boundedness of the two operators is equivalent with 1 ≤ p1, p2

Date: 2014
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https://doi.org/10.1155/2014/712051

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:712051

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