An Extension of the Cordoba-Fefferman Theorem on the Equivalence Between the Boundedness Maximal and Multiplier Operators

Series: 
Analysis Seminar
Wednesday, December 2, 2009 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 269
,  
Georgia Southern University
Organizer: 
I will speak about an extension of Cordoba-Fefferman Theorem on the equivalence between boundedness properties of certain classes of maximal and multiplier operators.  This extension utilizes the recent work of Mike Bateman on directional maximal operators as well as my work with Paul Hagelstein on geometric maximal operators associated to homothecy invariant bases of convex sets satisfying Tauberian conditions.