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 2012 · math.CAShow all

5 papers · 2 filters

math.CA2012

A guide to Carleson's Theorem

Ciprian Demeter

This paper is meant to be a gentle introduction to Carleson's Theorem on pointwise convergence of Fourier series.

math.CA2012

Endpoint bounds for the quartile operator

Ciprian Demeter, Francesco Di Plinio

It is a result by Lacey and Thiele that the bilinear Hilbert transform maps L^{p_1}(R) \times L^{p_2}(R) into L^{p_3}(R) whenever (p_1,p_2,p_3) is a Holder tuple with p_1,p_2 > 1 a…

math.CA2012

Improved estimates for the discrete Fourier restriction to the higher dimensional sphere

Jean Bourgain, Ciprian Demeter

We improve the exponent for the discrete Fourier restriction to the $n$ dimensional sphere, from $p = \frac{2 ( n + 1 )}{n - 3}$ to $p = \frac{2 n}{n - 3}$ , when $n \geq 4$ .

math.CA2012

Logarithmic L^p bounds for maximal directional singular integrals in the plane

Ciprian Demeter, Francesco Di Plinio

We discuss the L^p-boundedness of maximal singular integrals in the plane over a finite set V of N directions. Logarithmic bounds are established for a set V of arbitrary structure…

math.CA2012

Bilinear Fourier restriction theorems

Ciprian Demeter, S. Zubin Gautam

We provide a general scheme for proving $L^{p}$ estimates for certain bilinear Fourier restrictions outside the locally $L^{2}$ setting. As an application, we show how such estimates f…