Constantin Bilz

most citedLarge sets without Fourier restriction theorems

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2021

The one-dimensional centred maximal function diminishes the variation of indicator functions

Constantin Bilz, Julian Weigt

We prove sharp local and global variation bounds for the centred Hardy--Littlewood maximal functions of indicator functions in one dimension. We characterise maximisers, treat both…

math.CA2020★ 1 cited

Large sets without Fourier restriction theorems

Constantin Bilz

We construct a function that lies in $L^{p} (R^{d})$ for every $p \in (1, \infty]$ and whose Fourier transform has no Lebesgue points in a Cantor set of full Hausdorff dimension…