3 papers
math.CA2026
The strong spherical maximal function
Jin Bong Lee, Sanghyuk Lee, Jeongtae Oh
Let and . We consider the strong maximal operator associated with Euclidean surface averages over the unit sphere and independent coordinate dilatio…
math.CA2026
Maximal averages and non-transversality
Jin Bong Lee, Juyoung Lee, Jeongtae Oh +1
We investigate the mapping properties of maximal functions associated with analytic hypersurfaces in , with a particular emphasis on the role of transversality.…
math.CA2025
Lacunary elliptic maximal operator on the Heisenberg group
Joonil Kim, Jeongtae Oh
In this paper, we prove \( L^p \) boundedness results for lacunary elliptic maximal operators on the Heisenberg group. Furthermore, we extend these \( L^p \) estimates from skew-sy…