Juyoung Lee

activity

20172022

collaborators

4 papers

math.CA2022

$L^{p}$ maximal bound and Sobolev regularity of two-parameter averages over tori

Juyoung Lee, Sanghyuk Lee

We investigate $L^{p}$ boundedness of the maximal function defined by the averaging operator $f \to A_{t}^{s} f$ over the two-parameter family of tori $\mathbb{T}_t^{s}:=\{ ( (t…

math.CA2021

$L^{p} - L^{q}$ estimates for the circular maximal operators on Heisenberg radial functions

Juyoung Lee, Sanghyuk Lee

$L^{p}$ boundedness of the circular maximal function $M_{H^{1}}$ on the Heisenberg group $H^{1}$ has received considerable attentions. While the problem still…

math.CA2019

Restriction estimates to complex hypersurfaces

Juyoung Lee, Sanghyuk Lee

The restriction problem is better understood for hypersurfaces and recent progresses have been made by bilinear and multilinear approaches and most recently polynomial partitioning…

math.GR2017

Finite subgraphs of an extension graph

Sang-hyun Kim, Thomas Koberda, Juyoung Lee

Let $Γ$ be a finite graph and let $Γ^{e}$ be its extension graph. We inductively define a sequence ${Γ_{i}}$ of finite induced subgraphs of $Γ^{e}$ through succes…

Lp maximal bound and Sobolev regularity of two-parameter averages over tori

Lp−Lq estimates for the circular maximal operators on Heisenberg radial functions

Restriction estimates to complex hypersurfaces

Finite subgraphs of an extension graph

$L^{p}$ maximal bound and Sobolev regularity of two-parameter averages over tori

$L^{p} - L^{q}$ estimates for the circular maximal operators on Heisenberg radial functions