太阳成集团tyc411(中国)有限公司-百度百科九十周年院庆系列活动之七十六

Title: Iterated Spherical Average on Lebesgue Spaces

Speaker: Professor . FAN，Dashan  (信息工程大学)

Time:   2018-09-28  10:10-11:10

Location:  200-9,  Sir Shaw Run Run Business Administration building,School of Mathematical Sciences, Yuquan Campus

Abstract:Abstract. For the spherical average A1 and the Laplace operator Δ,  we study the iterated operator Δ(A₁)^{N} and find the minimal positive integer N to ensure the L1(ℝⁿ) boundedness of Δ(A₁)^{N}. Using a constructive proof, we completely solve a question in E. Belinsky, F. Dai and Z. Ditzian: Multivariate approximating average, J. Approx. Theory, 125 (2003), 85-105. This problem  is related to study short random walks in high dimensions originated by Pearson 100 years ago.

Contact Person:  WANG Meng, (mathdreamcn@zju.edu.cn)