Joint BCAM-UPV/EHU Analysis and PDE seminar: Endpoint bounds on the Hermite spectral projection
Fecha: Jue, Ene 18 2024
Hora: 17:00-18:00
Ubicación: BCAM - Basque Center for Applied Mathematics
Ponentes: Sanghyuk Lee (he/him) - Seoul National University
In this talk we are concerned with L2-Lq bounds on the Hermite spectral projection operator Πλ in ℝd. For d≥2, the optimal L2-Lq bound on Πλhas been known except for the endpoint case q=2(d+3)/(d+1).
However, the endpoint L2-L2(d+3)/(d+1) bound has been left unsettled for a long time. We prove this missing endpoint case for every d≥3. Our result is based on a new phenomenon: improvement of bounds due to asymmetric localization near the sphere.
Ponentes confirmados:
Sanghyuk Lee (he/him) - Seoul National University
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