Alex Stokolos

collaborators

2 papers

math.CA2025

Remarks on the construction of $K_{I ¨} $ sets associated to trees not satisfying a separation condition

Paul Hagelstein, Blanca Radillo-Murguia, Alex Stokolos

$K_{I ¨} $ sets involving sticky maps $I ¨ $ have been used in the theory of differentiation of integrals to probabilistically construct Kakeya-type sets that imply certain types of dire…

math.CA2025

Probabilistic Construction of Kakeya-Type Sets in $R^{2}$ associated to separated sets of directions

Paul Hagelstein, Blanca Radillo-Murguia, Alexander Stokolos

We provide a condition on a set of directions $I^c ◯ \subset S^{1}$ ensuring that the associated directional maximal operator $M_{I^} c ◯$ is unbounded on $L^{p} (R^{2})$ for ever…

Remarks on the construction of KI¨​ sets associated to trees not satisfying a separation condition

Probabilistic Construction of Kakeya-Type Sets in R2 associated to separated sets of directions

Remarks on the construction of $K_{I ¨} $ sets associated to trees not satisfying a separation condition

Probabilistic Construction of Kakeya-Type Sets in $R^{2}$ associated to separated sets of directions