DMS Colloquium: Ji Li

Speaker: Ji Li, Macquarie University

Title: Schatten Class of Commutator in the Two Weight Setting and Applications

Abstract: It is well-known that S. Bloom first established the characterization for boundedness of commutator of Hilbert transform in the two weight setting in 1985. We further characterized the compactness (joint work with Michael Lacey), and then provided a first step towards the theory on singular value estimate (joint work with Michael Lacey and Brett Wick). Comparing to Janson–Wolff and Rochberg– Semmes, our technique bypasses the use of Fourier. Applications to other settings will also be discussed, where Fourier is not available.

Faculty host: Prof. Yongsheng Han