Mutliparameter singular integrals

Analysis Seminar
Wednesday, November 19, 2014 - 14:00
1 hour (actually 50 minutes)
Skiles 006
University of Wisconsin, Madison
 This talk concerns a theory of "multiparameter singularintegrals."  The Calderon-Zygmund theory of singular integrals is a welldeveloped and general theory of singular integrals--in it, singularintegrals are associated to an underlying family of "balls" B(x,r) on theambient space.  We talk about generalizations where these balls depend onmore than one "radius" parameter B(x,r_1,r_2,\ldots, r_k).  Thesegeneralizations contain the classical "product theory" of singularintegrals as well as the well-studied "flag kernels," but also include moregeneral examples.  Depending on the assumptions one places on the balls,different aspects of the Calderon-Zygmund theory generalize.