A sharp nonlinear Hausdorff-Young inequality for small potentials (CROSBI ID 251780)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kovač, Vjekoslav ; Oliveira e Silva, Diogo ; Rupčić, Jelena
engleski
A sharp nonlinear Hausdorff-Young inequality for small potentials
The nonlinear Hausdorff-Young inequality follows from the work of Christ and Kiselev. Later Muscalu, Tao, and Thiele asked if the constants can be chosen independently of the exponent. We show that the nonlinear Hausdorff- Young quotient admits an even better upper bound than the linear one, provided that the function is sufficiently small in the L^1-norm. The proof combines perturbative techniques with the sharpened version of the linear Hausdorff- Young inequality due to Christ.
Nonlinear Fourier transform, Dirac scattering transform, Hausdorff-Young inequality
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Podaci o izdanju
147 (1)
2019.
239-253
objavljeno
0002-9939
1088-6826
10.1090/proc/14268