Seminar No.1940 Iterated Spherical Averages On Lebesgue Spaces

Created Date 11/15/2019 福平   View Numbers  44 Return    

Title: Iterated Spherical Averages On Lebesgue Spaces
Speaker: Prof. Dashan Fan (University of Wisconsin-Milwaukee)
Time: 2019-11-21 (Thursday) 15:00
Place: G507
Inviter: Fayou Zhao

For the spherical average A and the Laplace operator Δ, in this talk we will introduce the iterated operator Δ(A)^{N} and find the minimal positive integer N to ensure the L^1(R^n) boundedness of Δ(A)^{N}. Using a constructive proof, we completely solve a question posted by Belinsky, Dai and Ditzian posed in 2003.

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