Besov and Triebel-Lizorkin spaces: a primer
Prof. Leszek Skrzypczak
Adam Mickiewicz University, Poland
| Speaker |
Prof. Leszek Skrzypczak
Adam Mickiewicz University, Poland
|
|---|---|
| When |
Jan 09, 2017
from 02:00 PM to 03:00 PM |
| Where | LH 006 |
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Abstract: The aim of the mini-course is to introduce Besov and Triebel-Lizorkin spaces and to describe their basis properties.
1) Besov snd Triebel-Lizorkin space: motivation, definition, basic properties, equivalent characterizations (e.g. heat semi-groups characterization)
2) Operators acting on the spaces: embeddings, traces, multipliers, pseudo-differential operators, interpolation.
3) Decompositions of the spaces and theirs usefulness: atomic decompositions, wavelets. "