Pregled bibliografske jedinice broj: 503712
Uniform constants in Hausdorff-Young inequalities for the Cantor group model of the scattering transform
Uniform constants in Hausdorff-Young inequalities for the Cantor group model of the scattering transform // Proceedings of the American Mathematical Society, 140 (2012), 3; 915-926 doi:10.1090/S0002-9939-2011-11078-5 (međunarodna recenzija, članak, znanstveni)
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Naslov
Uniform constants in Hausdorff-Young inequalities for the Cantor group model of the scattering transform
Autori
Kovač, Vjekoslav
Izvornik
Proceedings of the American Mathematical Society (0002-9939) 140
(2012), 3;
915-926
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
scattering transform ; Hausdorff-Young inequality ; Cantor group model
Sažetak
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. Later Muscalu, Tao, and Thiele raised a question if 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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372790-2799 - Analiza i vjerojatnost (Šikić, Hrvoje, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Vjekoslav Kovač
(autor)
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
