most citedDiscrete maximal functions in higher dimensions and applications to ergodic theory

1 citations · 1 across the 2 of their papers we have counts for

collaborators
Showing math.CAShow all

2 papers · 1 filter

math.CA2023

Optimal bounds for the Dunkl kernel in the dihedral case

Jean-Philippe Anker, Bartosz Trojan

We establish sharp upper and lower estimates of the Dunkl kernel in the case of dihedral groups.

math.CA2014★ 1 cited

Discrete maximal functions in higher dimensions and applications to ergodic theory

Mariusz Mirek, Bartosz Trojan

We establish a higher dimensional counterpart of Bourgain's pointwise ergodic theorem along an arbitrary integer-valued polynomial mapping. We achieve this by proving variational e…