Iterated Spherical Average on Lebesgue Spaces
Speaker :
Time :
Location :
浙江大学数学科学学院九十周年院庆系列活动之七十六
Title: Iterated Spherical Average on LebesgueSpaces
Speaker: Professor . FAN，Dashan (信息工程大学)
Time: 2018-09-28 10:10-11:10
Location: 200-9, Sir ShawRun 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} andfind the minimal positive integer N to ensure the L1(ℝⁿ) boundedness ofΔ(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 byPearson 100 years ago.
Contact Person: WANG Meng, (mathdreamcn@zju.edu.cn)