Criterion on Lp1×Lp2→Lq-Boundedness for Oscillatory Bilinear Hilbert Transform
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<∞, and 1/q=1/p1+1/p2. In addition, we also discuss the boundedness of a variant o...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/712051 |
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