Pregled bibliografske jedinice broj: 1203805
Asymptotically sharp discrete nonlinear Hausdorff–Young inequalities for the SU(1,1)-valued Fourier products
Asymptotically sharp discrete nonlinear Hausdorff–Young inequalities for the SU(1,1)-valued Fourier products // Quarterly journal of mathematics, 73 (2022), 4; 1179-1188 doi:10.1093/qmath/haac011 (međunarodna recenzija, članak, znanstveni)
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Naslov
Asymptotically sharp discrete nonlinear Hausdorff–Young inequalities for the SU(1,1)-valued Fourier products
Autori
Kovač, Vjekoslav ; Oliveira E Silva, Diogo ; Rupčić, Jelena
Izvornik
Quarterly journal of mathematics (0033-5606) 73
(2022), 4;
1179-1188
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Fourier analysis ; Nonlinear Fourier transform ; Sharp constant ; Trigonometric polynomial
Sažetak
We work in a discrete model of the nonlinear Fourier transform (following the terminology of Tao and Thiele), which appears in the study of orthogonal polynomials on the unit circle. The corresponding nonlinear variant of the Hausdorff–Young inequality can be deduced by adapting the ideas of Christ and Kiselev to the present discrete setting. However, the behavior of sharp constants remains largely unresolved. In this short note we give two results on these constants, after restricting our attention to either sufficiently small sequences or sequences that are far from being the extremizers of the linear Hausdorff–Young inequality.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-UIP-2017-05-4129 - Multilinearna i nelinearna harmonijska analiza i primjene (MUNHANAP) (Kovač, Vjekoslav, HRZZ ) ( 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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
