Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform
Abstract
Description
We consider multilinear averages in ergodic theory and harmonic analysis and prove their divergence in some range of $L^p$ spaces, with $p$ close enough to 1. We also prove that the trilinear Hilbert transform is unbounded in a similar range of $L^p$ spaces.
12 pages, 0 figures
12 pages, 0 figures