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 Uniform constants in Hausdorff-Young inequalities for the Cantor group model of the scattering transform


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Analogues of Hausdorff-Young inequalities for the Dirac scattering transform a.k.a. SU1,1 nonlinear Fourier transform were first established by Christ and Kiselev 1,2. Later Muscalu, Tao, and Thiele 5 raised a question if the constants can be chosen uniformly in $1\leq p\leq 2$. Here we give a positive answer to that question when the Euclidean real line is replaced by its Cantor group model.



Autor: Vjekoslav Kovač

Fuente: https://archive.org/







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