题目:Study of Biparameter BMO and Application to Directional Hilbert Transforms
报告人:翟羽佳(法国南特大学)
时间:5月24日,15:00-16:00
地点:明德楼B区201报告厅
摘要: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.