P. Hagelstein

activity

20122022

collaborators

5 papers

math.CA2022

Sharp Weak Type Estimates for Maximal Operators associated to Rare Bases

Paul Hagelstein, Giorgi Oniani, Alex Stokolos

Let $B$ denote a nonempty translation invariant collection of intervals in $R^{n}$ (which we regard as a rare basis), and define the associated geometric maximal o…

math.CA2021

Sharp weak type estimates for a family of Soria bases

Dmitriy Dmitrishin, Paul Hagelstein, Alex Stokolos

Let $B$ be a collection of rectangular parallelepipeds in $R^{3}$ whose sides are parallel to the coordinate axes and such that $B$ contains parallelepip…

math.CA2019

A theorem of Besicovitch and a generalization of the Birkhoff Ergodic Theorem

Paul Hagelstein, Daniel Herden, Alexander Stokolos

A remarkable theorem of Besicovitch is that an integrable function $f$ on $R^{2}$ is strongly differentiable if and only if its associated strong maximal function $M_{S} f$ is…

math.DS2018

Fejer Polynomials and Control of Nonlinear Discrete Systems

Dmitriy Dmitrishin, Paul Hagelstein, Anna Khamitova +2

We consider optimization problems associated to a delayed feedback control (DFC) mechanism for stabilizing cycles of one dimensional discrete time systems. In particular, we consid…

math.FA2012

Continuity of halo functions associated to homothecy invariant density bases

Oleksandra V. Beznosova, Paul A. Hagelstein

Let $B$ be a collection of open sets in $R^{n}$ such that, for any $x \in R^{n}$ , there exists a set $U \in B$ of arbitrarily small diameter {…