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 2016Show all

2 papers · 1 filter

math.AP2016

Long term regularity of the one-fluid Euler-Maxwell system in 3D with vorticity

Alexandru Ionescu, Victor Lie

We prove long-term regularity of solutions of the one-fluid Euler-Maxwell system in 3 spatial dimensions, in the case of small initial data with nontrivial vorticity.

math.CA2016★ 35 cited

Maximal operators and Hilbert transforms along variable non-flat homogeneous curves

Shaoming Guo, Jonathan Hickman, Victor Lie +1

We prove that the maximal operator associated with variable homogeneous planar curves $(t, u t^{α})_{t \in R}$ , $α \neq = 1$ positive, is bounded on $L^{p} (R^{2})$ for each…