12 citations · 51 across the 25 of their papers we have counts for
4 papers · 1 filter
Ornstein's non-inequalities Riesz product approach
Krystian Kazaniecki, Michał Wojciechowski
We provide a new technique to prove Ornstein's non-inequalities for derivatives with some geometrical dependence on their indexes.
On the Gelfand space of the measure algebra on the circle group
Przemysław Ohrysko, Michał Wojciechowski
This paper is devoted to studying certain topological properties of the maximal ideal space of the measure algebra on the circle group. In particular, we focus on Cech cohomologies…
Dimension of gradient measures
Dmitriy M. Stolyarov, Michal Wojciechowski
We prove that if pure derivatives with respect to all coordinates of a function on are signed measures, then their lower Hausdorff dimension is at least . The d…
Bounded Approximation Property for Sobolev spaces on simply-connected planar domains
Maria Roginskaya, Michal Wojciechowski
We show that Sobolev space of any planar one-connected domain has the Bounded Approximation property. The result holds independently from the properties of the bound…