%ABorges, Tainara [Department of Mathematics Brown University Providence Rhode Island USA]%AFoster, Benjamin [Department of Mathematics Stanford University Stanford California USA]%AOu, Yumeng [Department of Mathematics University of Pennsylvania Philadelphia Pennsylvania USA]%APipher, Jill [Department of Mathematics Brown University Providence Rhode Island USA]%AZhou, Zirui [Department of Mathematics University of California Berkeley California USA]%BJournal Name: Journal of the London Mathematical Society; Journal Volume: 107; Journal Issue: 4; Related Information: CHORUS Timestamp: 2023-08-21 11:28:06
%D2023%IOxford University Press (OUP)
%JJournal Name: Journal of the London Mathematical Society; Journal Volume: 107; Journal Issue: 4; Related Information: CHORUS Timestamp: 2023-08-21 11:28:06
%K
%MOSTI ID: 10420586
%PMedium: X
%TSparse bounds for the bilinear spherical maximal function
%XAbstract
We derive sparse bounds for the bilinear spherical maximal function in any dimension . When , this immediately recovers the sharp bound of the operator and implies quantitative weighted norm inequalities with respect to bilinear Muckenhoupt weights, which seems to be the first of their kind for the operator. The key innovation is a group of newly developed continuity improving estimates for the singleāscale bilinear spherical averagingĀ operator.

%0Journal Article