# Efroymson lecture: Annunziata Loiudice (University of Bari), An introduction to Lorentz spaces and applications

### Event Description:

We introduce the definition and the main properties of Lorentz spaces, starting by the notion of rearrangement of a function. Lorentz spaces, usually denoted as L^{p,q} spaces, are function spaces affected by two indexes and they are generalization of the ordinary L^p spaces. They also coincide, for q=\infty, with the so-called L^p weak spaces. We illustrate the basic properties of such spaces and their prominent role in Harmonic Analysis and PDEs.

Partially Supported by Efroymson Fund.

### Event Contact

**Contact Email: **vassilev@unm.edu