Efroymson lecture: Annunziata Loiudice (University of Bari), An introduction to Lorentz spaces and applications
Event Type:
Colloquium
Speaker:
Annunziata Loiudice (University of Bari), https://www.dm.uniba.it/Members/loiudice
Event Date:
Friday, April 26, 2019 -
3:00pm to 4:00pm
Location:
SMLC356
Audience:
General PublicFaculty/StaffStudentsAlumni/Friends
Sponsor/s:
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.
Event Contact
Contact Email: vassilev@unm.edu