Title: The Nonlinear Estimates on Quantum Besov Space
Speaker: Deyu CHEN （Harbin Institute of Technology）
Time: Friday, April 3, 2026, 14:30-15:30
Venue：Gewu Building, Room 315
Abstract: The quantum Euclidean space, originated from the classical Euclidean space and quantum phase space, is a standard example of a noncompact noncommutative geometry. In recent years, many researchers have studied the harmonic analysis, nonlinear PDEs and nonlinear estimates on quantum Euclidean spaces. In this talk, we will firstly review the relevant results of superposition operators on classical Euclidean spaces; then talk about the techniques of nonlinear estimates in the noncommutative case. Finally we will present the progress which we have made on quantum Euclidean spaces, in particular the nonlinear estimates of the superposition operators with non-smooth symbols on quantum Besov spaces. We will also introduce some applications of our results on noncommutative PDE theories.
