Speaker：Fulin Yang (Beijing Institute of Mathematical Sciences and Applications)

Time：2025-10-17 16:00

Location：Conference Room S107 at Experiment Building at Haiyun Campus

Abstract:

The main objective of this talk is to discuss the distributional estimates for (i) commutators with Calderon-Zygmund singular integral operators; (ii) Marcinkiewicz multipliers; (iii) Littlewood-Paley square function, via semigroup generated by α-Cesaro operator. In each of the cases (i)-(iii) we obtain new estimates of the distribution of elements in the range of the underlying operators in terms of the distribution function of the input function.

Our method allows us to obtain optimal estimates shedding additional light at the results due to Perez (1995), Tao and Wright/Bakas et al.(2001/2024), Bourgain (1989) The main feature of the distributional form inequalities lies in its broad applicability across diverse problems in analysis, e.g. they allow obtaining estimates in wide range of symmetric quasi-Banach interpolation spaces between Lp and Lq (1