Absolutely Summing Composition Operators on Bloch Spaces

Offered By: Fields Institute via YouTube

Course Description

Overview

Explore a 50-minute lecture on absolutely summing composition operators on Bloch spaces, presented by Pascal Lefèvre from Université Artois as part of the Focus Program on Analytic Function Spaces and their Applications at the Fields Institute. Delve into the intricacies of Bloch-type spaces on the unit disk, examining their basic properties and the boundedness of composition operators. Investigate compactness examples, including the lens map and cusp map, and analyze symbols touching the boundary. Learn about nuclear and absolutely summing composition operators on Bloch spaces, with additional examples provided to enhance understanding of this complex mathematical topic.

Syllabus

Intro
Framework
Composition operators
Bloch-type spaces on the unit disk
Bask properties.
Boundedness on Bloch spaces
Compactness examples
The lens map
The cusp map
Symbols touching the boundary
Nuclear
Absolutely summing composition operator on Bloch spaces
Some other examples

Taught by

Fields Institute

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