Dyadic Approach to Hypersingular Operators
Analysis
Key Takeaways
- •Develops a real-variable and dyadic framework for hypersingular operators.
- •Introduces a hypersingular sparse domination principle.
- •Applies Bourgain's interpolation method.
- •Provides critical-line and endpoint estimates.
- •Addresses a question from previous research and offers a new analytical approach.
“The main new input is a hypersingular sparse domination principle combined with Bourgain's interpolation method, which provides a flexible mechanism to establish critical-line (and endpoint) estimates.”