4 papers · 1 filter
Multi-Parameter Exponential Sums with Product Hilbert Kernels
Joonil Kim, Hoyoung Song
We establish necessary and sufficient conditions for the uniform boundedness of the multi-parameter exponential sums with product Hilbert kernels $$\sum_{1\le|t_1|\le N_1,\cdots,1\…
Discrete analogues in harmonic analysis: Multi-parameter Radon averages
Agnieszka Hejna-Łyżwa, Joonil Kim, Bartosz Langowski +3
In this paper we study maximal and oscillation inequalities for multi-parameter discrete Radon averaging operators. We develop a robust variant of the multi-parameter circle method…
Restricted weak type endpoint estimate for the spherical maximal operators on the Heisenberg group
Hyunwoo Jeon, Joonil Kim
Let denote the Heisenberg group, identified with , where and . We consider the spherical maximal operator…
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…