Moving averages in the plane

Moonens, Laurent;Rosenblatt, Joseph
(2012) Illinois Journal of Mathematics — (2012)

Files

Moonens-Rosenblatt-Final-Draft.pdf
  • Restricted Access
  • Adobe PDF
  • 436.85 KB
Request a copy

Details

Authors
  • Moonens, LaurentUCLouvain
    Author
  • Rosenblatt, JosephUniversity of Illinois at Urbana-Champaign
    Author
Abstract
We study the almost everywhere behavior of the maximal operator associated to moving averages in the plane, both for Lebesgue derivatives and ergodic averages. We show that the almost everywhere behavior of the maximal operator associated to a sequence of moving rectangles vi + Qi, with (0,0) ∈ Qi, depends both on the way the rectangles are moved by vi and the structure of the rectangles (Qi) as a partially ordered set.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Moonens, L., & Rosenblatt, J. (2012). Moving averages in the plane. Illinois Journal of Mathematics. Accepted/in-press. https://hdl.handle.net/2078.5/43931 (Original work published 2012)