Special Session 52: Harmonic Analysis and Partial Differential Equations

Estimates for Brascamp-Lieb forms in $L^p$-spaces with power weights

Katharine Ott
Bates College
USA
Co-Author(s):    Russell Brown
Abstract:
We give an update on ongoing work to study a family of Brascamp-Lieb forms acting on families of weighted spaces where the weight is a power of the distance to the origin. We aim to find the largest set of indices for which we have weighted estimates for these multilinear forms. In this talk I will discuss a set of necessary and sufficient conditions for a special class of forms and then discuss the state of the problem in a more general setting.