|
Session 4. Banach Spaces and Operator Theory with Applications
|
Exact Minimizers in Real Interpolation and Duality in Convex Analysis |
Natan Kruglyak, Linköping University, Sweden
|
The talk is based on joint work with Japhet Niyobuhungiro
|
|
|
I plan to discuss possibility to use convex analysis and
particularly the Attouch-Brezis theorem for the following extremal
problem which appear in real interpolation: how to characterize (to
construct) optimal decomposition of K, L and
E-functionals. Important parts of the talk will be infimal
convolutions on Banach couples and geometrical characterization of
optimal decompositions for the L-functional. I also plan to show
connection of this area of research with inverse problems in image
processing, especially with famous Rudin-Osher-Fatemi denoising
model.
|
|
| Print version |
|
