FALL 2021 Nonlinear Analysis Special Lecture Part 1 of 3
Associate Professor Kabe Moen, The University of Alabama
Title: Fractional Integrals and weights Part I
I will introduce fractional integral operator and its related maximal operator. After developing some of the relevant background, we will discuss its boundedness on Lebesgue spaces and various related inequalities of Hedberg and Welland. We will also cover endpoint bounds and applications to Sobolev-Poincare inequalities.