Pregled bibliografske jedinice broj: 941001
A sharp nonlinear Hausdorff-Young inequality for small potentials
A sharp nonlinear Hausdorff-Young inequality for small potentials // Proceedings of the American Mathematical Society, 147 (2019), 1; 239-253 doi:10.1090/proc/14268 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 941001 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A sharp nonlinear Hausdorff-Young inequality for
small potentials
Autori
Kovač, Vjekoslav ; Oliveira e Silva, Diogo ; Rupčić, Jelena
Izvornik
Proceedings of the American Mathematical Society (0002-9939) 147
(2019), 1;
239-253
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Nonlinear Fourier transform, Dirac scattering transform, Hausdorff-Young inequality
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-3526 - Stohastičke metode u analitičkim i primijenjenim problemima (SMAAP) (Vondraček, Zoran, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Fakultet prometnih znanosti, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
