7 citations · 8 across the 8 of their papers we have counts for
8 papers
A continuous analogue of Erdős' -Sperner theorem
Themis Mitsis, Christos Pelekis, Václav Vlasák
A \emph{chain} in the unit -cube is a set such that for every and in we either have $x_i\le y_…
A Turán-type theorem for large-distance graphs in Euclidean spaces, and related isodiametric problems
Martin Doležal, Jan Hladký, Jan Kolář +3
Given a measurable set we consider the "large-distance graph" , on the ground set , in which each pair of points from whose distance is…
Projection inequalities for antichains
Konrad Engel, Themis Mitsis, Christos Pelekis +1
A set is called an antichain (resp. antichain) if it does not contain two distinct elements and ${\mathbf y}=(y_1,\ldot…
The de Bruijn-Erdős theorem from a Hausdorff measure point of view
Martin Doležal, Themis Mitsis, Christos Pelekis
Motivated by a well-known result in extremal set theory, due to Nicolaas Govert de Bruijn and Paul Erdős, we consider curves in the unit -cube of the form \[ A=\{(x,f_…
A fractal perspective on optimal antichains and intersecting subsets of the unit -cube
Konrad Engel, Themis Mitsis, Christos Pelekis
An \emph{-cube antichain} is a subset of the unit -cube that does not contain two elements and $\mathbf{y}=(y_1, y_2,\ldots, y_n…
Carleman estimates with convex power weights
Themis Mitsis
We prove Carleman estimates with convex power weights , extending previous work by J. O. Strömberg.
Menshov' "adjustment theorem" with respect to general measures
Themis Mitsis
A classical theorem of Menshov states that every measurable function can redefined on a set of arbitrarily small Lebesgue measure, so that the resulting function has uniformly conv…
The essential norm of a composition operator on the minimal Mobius invariant space
Themis Mitsis, Michael Papadimitrakis
We derive a formula for the essential norm of a composition operator on the minimal Mobius invariant space of analytic functions. As an application, we show that the essential norm…