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

LOCATION: BCAM Semianar room and Online

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

𝑀(𝑓,𝑔)(𝑥)=sup_(𝑡>0)⁡∫24_(𝑆2𝑑−1)▒〖| 𝑓(𝑥−𝑡𝑦)𝑔(𝑥−𝑡𝑧)|𝑑𝜎(𝑦,𝑧), 𝑥∈ℝ𝑑〗,

in any dimension d ≥ 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 → 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