Victor Lie

activity

20072026

most citedMaximal operators and Hilbert transforms along variable non-flat homogeneous curves

35 citations · 111 across the 20 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CA2019

The Boundedness of the (Sub)Bilinear Maximal Function along "non-flat" smooth curves

Alejandra Gaitan, Victor Lie

Let $N F$ be the class of smooth non-flat curves near the origin and near infinity previously introduced by the second author and let $γ\in\mathcal{N}\mathcal{F}…

math.CA2019★ 1 cited

The pointwise convergence of Fourier Series (II). Strong $L^{1}$ case for the lacunary Carleson operator

Victor Lie

We prove that the lacunary Carleson operator is bounded from $L lo g L$ to $L^{1}$ . This result is sharp. The proof is based on two newly introduced concepts: 1) the \emph{time-fre…

math.AP2019★ 5 cited

A unified approach to three themes in harmonic analysis ( $1^{s t}$ part)

Victor Lie

In the present paper and its sequel "A unified approach to three themes in harmonic analysis ( $2^{n d}$ part)", we address three rich historical themes in harmonic analysis that rel…

The Boundedness of the (Sub)Bilinear Maximal Function along "non-flat" smooth curves

The pointwise convergence of Fourier Series (II). Strong L1 case for the lacunary Carleson operator

A unified approach to three themes in harmonic analysis (1st part)

The pointwise convergence of Fourier Series (II). Strong $L^{1}$ case for the lacunary Carleson operator

A unified approach to three themes in harmonic analysis ( $1^{s t}$ part)