4 citations · 7 across the 5 of their papers we have counts for
5 papers
{Spaces of Infinite Measure and Pointwise Convergence of the Bilinear Hilbert and Ergodic Averages Defined by -Isometries
Earl Berkson, Ciprian Demeter
We generalize the respective ``double recurrence'' results of Bourgain and of the second author, which established for pairs of functions on a finite measure space the…
On the two dimensional Bilinear Hilbert Transform
Ciprian Demeter, Christoph Thiele
We investigate the Bilinear Hilbert Transform in the plane and the pointwise convergence of bilinear averages in Ergodic theory, arising from actions. Our techniques combine…
Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform
Ciprian Demeter
We consider multilinear averages in ergodic theory and harmonic analysis and prove their divergence in some range of spaces, with close enough to 1. We also prove that th…
The Walsh model for Carleson
Ciprian Demeter, Michael Lacey, Terence Tao +1
We study the Walsh model of a certain maximal truncation of Carleson's operator, related to the Return Times Theorem from Ergodic Theory.
Modulation invariant bilinear T(1) theorem
Arpad Benyi, Ciprian Demeter, Andrea R. Nahmod +3
We prove a T(1) theorem for bilinear singular integral operators (trilinear forms) with a one-dimensional modulation symmetry.