112 citations · 378 across the 30 of their papers we have counts for
4 papers · 1 filter
On the maximal directional Hilbert transform in three dimensions
Francesco Di Plinio, Ioannis Parissis
We establish the sharp growth rate, in terms of cardinality, of the norms of the maximal Hilbert transform along finite subsets of a finite order lacunary set of direct…
Square functions for bi-Lipschitz maps and directional operators
Francesco Di Plinio, Shaoming Guo, Christoph Thiele +1
First we prove a Littlewood-Paley diagonalization result for bi-Lipschitz perturbations of the identity map on the real line. This result entails a number of corollaries for the Hi…
A sharp estimate for the Hilbert transform along finite order lacunary sets of directions
Francesco Di Plinio, Ioannis Parissis
Let be a nonnegative integer and be a lacunary set of directions of order . We show that the norms, , of the maximal directional Hi…
Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity
Francesco Di Plinio, Andrea Giorgini, Vittorino Pata +1
We consider a Navier-Stokes-Voigt fluid model where the instantaneous kinematic viscosity has been completely replaced by a memory term incorporating hereditary effects, in presenc…