Joonil Kim

activity

20072022

most citedAnnulus Maximal Averages on Variable Hyperplanes

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

collaborators

5 papers

math.CA2022

Sublevel Set Estimates over Global Domains

Joonil Kim

Since Varchenko's seminal paper, the asymptotics of oscillatory integrals and related problems have been elucidated through the Newton polyhedra associated with the phase $P$ . The…

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…

math.CA2013

Multiple Hilbert transform associated with polynomials

Joonil Kim

We study conditions determining the $L^{p}$ boundedness of multiple Hilbert transforms associated with polynomials.

math.CA2007

Triple Hilbert transforms along polynomial surfaces

Yong Kum Cho, Sunggeum Hong, Joonil Kim +1

This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.