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

Event Type: 
Annunziata Loiudice (University of Bari),
Event Date: 
Friday, April 26, 2019 -
3:00pm to 4:00pm
General PublicFaculty/StaffStudentsAlumni/Friends
Dimiter Vassilev, Efroymson Fund

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.

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