Weighted norm inequalities for integral transforms with splitting kernels

Seminar
Speaker
Dr. Alberto Debernardi, Bar-Ilan University
Date
03/06/2019 - 15:40 - 14:00Add to Calendar 2019-06-03 14:00:00 2019-06-03 15:40:00 Weighted norm inequalities for integral transforms with splitting kernels Given an integral transform on the positive real line, we say that its kernel is splitting if it satisfies upper pointwise estimates given by products of two functions, each of them taken in a different variable. We discuss necessary and/or sufficient conditions weighted norm inequalities involving these transforms to hold. Sharpness of the results is directly related to the sharpness of the upper estimates for the kernels that we find. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

Given an integral transform on the positive real line, we say that its kernel is
splitting if it satisfies upper pointwise estimates given by products of two
functions, each of them taken in a different variable. We discuss necessary and/or
sufficient conditions weighted norm inequalities involving these transforms to
hold. Sharpness of the results is directly related to the sharpness of the upper
estimates for the kernels that we find.

Last Updated Date : 03/06/2019