Explore the intricacies of BMO (Bounded Mean Oscillation) and its variations in this 55-minute lecture by Galia Dafni from Concordia University. Delve into topics such as rearrangement, continuity, changes in shapes, improved constants, and family of shapes. Examine the extension of BMO to uniform domains and local BMO on specific domains. Gain insights into corollaries and closing remarks on this important concept in analytic function spaces. Part of the Fields Institute's Focus Program on Analytic Function Spaces and their Applications, this talk offers a comprehensive overview of BMO theory and its applications.
Overview
Syllabus
Introduction
Rearrangement
Continuity
Changes in shapes
Improved constants
Family of shapes
The extension
Uniform domains
BMO on a domain
corollary
local BMO
extension domains
closing
Taught by
Fields Institute
