12 citations · 51 across the 25 of their papers we have counts for
7 papers · 1 filter
Hausdorff dimension of measures with arithmetically restricted spectrum
Rami Ayoush, Dmitriy Stolyarov, Michał Wojciechowski
We provide an estimate from below for the lower Hausdorff dimension of measures on the unit circle based on the arithmetic properties of their spectra. We obtain our bounds via app…
Martingale approach to Sobolev embedding theorems
Rami Ayoush, Dmitriy Stolyarov, Michal Wojciechowski
We prove a martingale analog of van Schaftingen's theorem and give sharp estimates on the lower Hausdorff dimension of measures in martingale shift invariant spaces. We also provid…
On dimension and regularity of bundle measures
Rami Ayoush, Michał Wojciechowski
In this paper we quantify the notion of antisymmetry of the Fourier transform of certain vector valued measures. The introduced scale is related to the condition appearing in Uchiy…
Anisotropic Ornstein non inequalities
Krystian Kazaniecki, Dmitriy M. Stolyarov, Michal Wojciechowski
We investigate existence of a priori estimates for differential operators in norm: for anisotropic homogeneous differential operators , we study the c…
Independent sums of and
Maciej Rzeszut, Michal Wojciechowski
We construct a new idempotent Fourier multiplier on the Hardy space on the bidisc, which could not be obtained by applying known one dimentional results. The main tool is a new $L^…
On the equivalence between the sets of the trigonometric polynomials
Krystian Kazaniecki, Michał Wojciechowski
In this paper we construct an injection from the linear space of trigonometric polynomials defined on with bounded degrees with respect to each variable to a suitabl…
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…