Pregled bibliografske jedinice broj: 1140376
Mixed norm Strichartz-type estimates for hypersurfaces in three dimensions
Mixed norm Strichartz-type estimates for hypersurfaces in three dimensions // Mathematische Zeitschrift, 297 (2020), 3-4; 1529-1599 doi:10.1007/s00209-020-02568-8 (međunarodna recenzija, članak, znanstveni)
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Naslov
Mixed norm Strichartz-type estimates for hypersurfaces in three dimensions
Autori
Palle, Ljudevit
Izvornik
Mathematische Zeitschrift (0025-5874) 297
(2020), 3-4;
1529-1599
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Strichartz estimates ; Fourier transform ; Fourier restriction
Sažetak
In their work Ikromov and Müller (Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra. Princeton University Press, Princeton, 2016) proved the full range Lp−L2 Fourier restriction estimates for a very general class of hypersurfaces in R3 which includes the class of real analytic hypersurfaces. In this article we partly extend their results to the mixed norm case where the coordinates are split in two directions, one tangential and the other normal to the surface at a fixed given point. In particular, we resolve completely the adapted case and partly the non-adapted case. In the non-adapted case the case when the linear height hlin(ϕ) is below two is settled completely.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
