Title：Study of Biparameter BMO and Application to Directional Hilbert Transforms
Speaker：Yujia Zhai （University of Nantes）
Time：15:00-16:00, May24
Location：Room 201, Ming De Building
Abstract：We will study the properties of functions in the biparameter BMO space and focus on their behavior under the action of a rotation. We will show that this BMO space is not preserved by a rotation. By imposing additional regularity, we will prove interpolation inequalities which imply a boundedness property of directional Hilbert transforms. We will also discuss briefly the possible applications of the result to the study of the 2D Euler equation. This is joint work with Frederic Bernicot.
