# Analysis and Probability seminar

Peter Sjögren, Göteborg: Non-centered maximal operators related to a non-doubling ex- ponential measure

We investigate non-centered Hardy-Littlewood maximal opera- tors related to the exponential measure dμ(x) = exp(−|x_1|−... −|x_d|) dx in R^d, d ≥ 2. The mean values are taken over Euclidean balls or cubes or l^1- balls. In the cases of cubes and l^1-balls we prove the Lp-boundedness for p > 1 and disprove the weak type (1,1) estimate. The same is proved in the case of Euclidean balls, under the restriction d ≤4 for the positive result.

Organisers: Jakob Björnberg (jakobbj@chalmers.se), Erik Broman (broman@chalmers.se) and Genkai Zhang (genkai@chalmers.se). Please contact us if you wish to be informed of future seminars.

The seminar will be held in MV:L14 as well as via Zoom. Members of the department will receive the link and password via mail, and can also attend in MV:L14. Others interested are welcome to attend on Zoom and can get the link by contacting one of the organisers (please inform us who you are).Page manager Published: Wed 24 Nov 2021.