Joint BCAM-UPV/EHU Analysis and PDE seminar: Sparse bounds for the bilinear spherical maximal function

Data: Or, Eka 23 2023

Ordua: 17:00

Lekua: BCAM Semianar room and Online

Hizlariak: Tainara Borges

LOCATION: BCAM Semianar room and Online

Abstract
In this talk we prove sparse domination results for the bilinear spherical maximal function given by 

๐‘€(๐‘“,๐‘”)(๐‘ฅ)=sup_(๐‘ก>0)โกโˆซ24_(๐‘†2๐‘‘โˆ’1)โ–’ใ€–| ๐‘“(๐‘ฅโˆ’๐‘ก๐‘ฆ)๐‘”(๐‘ฅโˆ’๐‘ก๐‘ง)|๐‘‘๐œŽ(๐‘ฆ,๐‘ง), ๐‘ฅโˆˆโ„๐‘‘ใ€—,

in any dimension d โ‰ฅ 2. The key innovation is a group of newly developed continuity Lp improving estimates for the localized version of the bilinear spherical maximal function. From the sparse bounds one can recover the known sharp Lp - Lq โ†’ Lr bounds for M and deduce new quantitative weighted norm inequalities with respect to bilinear Muckenhoupt weights.


Link to the session: 
https://us06web.zoom.us/j/99649860282?pwd=SE0vemtYMFlwbFBNTXQyOTBONG0vZz09

More info at https://sites.google.com/view/apdebilbao/home

Antolatzaileak:

 Brown University

Hizlari baieztatuak:

Tainara Borges