Explore a comprehensive lecture on weight norm inequalities for singular and fractional integral operators in Rn. Delve into the intricacies of this mathematical topic as presented by Ignacio Uriarte-Tuero from the University of Toronto. Learn about A2 and AP weights, the two-way problem and theorem, pivotal conditions, and cancellation conditions. Gain insights into the energy condition, analog testing conditions, and the main theorem's proof. This 58-minute talk, part of the Focus Program on Analytic Function Spaces and their Applications, offers a deep dive into advanced mathematical concepts for those interested in analytic function spaces.
Two Weight Norm Inequalities for Singular and Fractional Integral Operators in Rn
Overview
Syllabus
Introduction
Outline
Problem
Related questions
Model operators
A2 weights
AP weights
Twoway problem
Twoway theorem
Pivotal conditions
Theorem
Example
Ingredients of proof
A2 condition
Energy condition
Summary
Explanation
Development
Cancellation conditions
General cancellation conditions
Analog testing conditions
Main theorem
Proof
Taught by
Fields Institute
