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摘要
Analogues of Hausdorff-Young inequalities for the Dirac scattering transform (a.k.a. the SU(1, 1) nonlinear Fourier transform) were first established by Christ and Kiselev. Later Muscalu, Tao, and Thiele raised a question whether the constants can be chosen uniformly in 1 <= p <= 2. Here we give a positive answer to that question when the Euclidean real line is replaced by its Cantor group model.
- 出版日期2012-3
