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• W2168538265 abstract "Muscalu, Pipher, Tao and Thiele showed that the tensor product between two one-dimensional paraproducts (also known as a bi-parameter paraproduct) satisfies all the expected L p bounds. In the same paper, they showed that the tensor product of two bilinear Hilbert transforms is unbounded in any range. They also raised a question concerning the L p boundedness of the bilinear Hilbert transform tensored with a paraproduct. We answer their question by obtaining a wide range of estimates for this hybrid bilinear operator. Our method relies on new vector-valued estimates for a family of bilinear Hilbert transforms." @default.
• W2168538265 created "2016-06-24" @default.
• W2168538265 creator A5026470282 @default.
• W2168538265 date "2014-09-04" @default.
• W2168538265 modified "2023-09-25" @default.
• W2168538265 title "Vector-valued inequalities for families of bilinear Hilbert transforms and applications to bi-parameter problems" @default.
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• W2168538265 doi "https://doi.org/10.1112/jlms/jdu044" @default.
• W2168538265 hasPublicationYear "2014" @default.
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