3 citations · 5 across the 5 of their papers we have counts for
5 papers
On the analytic version of the Mitiagin-DeLeeuw-Mirkhil non-inequality on bi-disc
Krystian Kazaniecki, Michał Wojciechowski
Using the method of Rudin-Shapiro polynomials we prove the analytic version of the Mitiagin-DeLeeuw-Mirkhil non-inequality for complex partial differential operators with constant…
On the Pelczynski conjecture on Auerbach Bases
Andrzej Weber, Michał Wojciechowski
We consider Auerbach bases in Banach spaces of dimension n>2. We show that there exists at least (n-1)n/2+1 such bases. This estimate follows from the calculation of the Lusternik-…
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…
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…