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An extension on trilinear Hilbert transform. (English) Zbl 1033.46033
Based on the work of C. Muscalu, T. Tao and C. Thiele [J. Am. Math. Soc. 15, 469–496 (2002; Zbl 0994.42015)], the author shows the separate continuity and then the continuity of the trilinear transform on appropriate spaces of test functions.

MSC:
46F12 Integral transforms in distribution spaces
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
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