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math.CA2010★ 12 cited
Uniform constants in Hausdorff-Young inequalities for the Cantor group model of the scattering transform
Vjekoslav Kovač
Analogues of Hausdorff-Young inequalities for the Dirac scattering transform (a.k.a. SU(1,1) nonlinear Fourier transform) were first established by Christ and Kiselev [1],[2]. Late…
math.CA2010★ 36 cited
Boundedness of the twisted paraproduct
Vjekoslav Kovač
We prove L^p estimates for a two-dimensional bilinear operator of paraproduct type. This result answers a question posed by Demeter and Thiele in [3].