Joonil Kim

activity

20072022

most citedAnnulus Maximal Averages on Variable Hyperplanes

5 citations · 5 across the 5 of their papers we have counts for

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Showing 2019 · math.CAShow all

2 papers · 2 filters

math.CA2019

Circular maximal functions on the Heisenberg group

Joonil Kim

We prove the $L^{p}$ boundedness of the circular maximal function on the Heisenberg group $H^{1}$ for $2 < p \leq \infty$ . The proof is based on the square sum estimate associated…

math.CA2019★ 5 cited

Annulus Maximal Averages on Variable Hyperplanes

Joonil Kim

By giving a thin width of $0 < δ ≪ 1$ to both a unit circle and a unit line, we set an annulus and a tube on the Euclidean plane $R^{2}$ . Consider the maximal means $M_{δ}$ ove…