M. Dymowski

collaborators

2 papers

math.NT2026

Lattice points in high-dimensional $ℓ^{q}$ balls with small radii

Michał Dymowski

We prove a dimension-free count of lattice points in high-dimensional $ℓ^{q}$ balls and spheres with small radii. Our result complements those already established for $q = 1, 2$ by c…

math.FA2024

Harmonic functions for Bessel operators

Michał Dymowski, Marcin Preisner, Adam Sikora

We verify the continuity of the Riesz transform from the operator related Hardy space to $L^{1}$ - Lebesgue space of integrable functions. For the standard Euclidean Laplace operator…

Lattice points in high-dimensional ℓq balls with small radii

Harmonic functions for Bessel operators

Lattice points in high-dimensional $ℓ^{q}$ balls with small radii