C. Demeter

activity

20052026

most citedProof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three

60 citations · 151 across the 48 of their papers we have counts for

collaborators

Showing 2007 · math.CAShow all

3 papers · 2 filters

math.CA2007

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 $L^{p}$ spaces, with $p$ close enough to 1. We also prove that th…

math.CA2007★ 1 cited

The Walsh model for $M_{2}^{*}$ 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.

math.CA2007★ 4 cited

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.

Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform

The Walsh model for M2∗​ Carleson

Modulation invariant bilinear T(1) theorem

The Walsh model for $M_{2}^{*}$ Carleson