Jin Bong Lee

collaborators

4 papers

math.CA2026

Sharp $L^{2}$ Estimates for $(2 + 1)$ -dimensional oscillatory integral operators with homogeneous binomial phases

Chu-hee Cho, Jin Bong Lee, Chan Woo Yang

We study oscillatory integral operators in $(2 + 1)$ -dimensions with a homogeneous binomial phase \[ Φ(x,y,t)=x^{k-k_P}t^{k_P}+y^{k-k_Q}t^{k_Q}, \qquad 1\le k_P<k_Q<k. \] For compact…

math.CA2026

Maximal averages and non-transversality

Jin Bong Lee, Juyoung Lee, Jeongtae Oh +1

We investigate the $L^{p}$ mapping properties of maximal functions associated with analytic hypersurfaces in $R^{d}$ , with a particular emphasis on the role of transversality.…

math.AP2025

A regularity theory for an initial value problem with a time-measurable pseudo-differential operator in a weighted $L_{p}$ -space

Jae-Hwan Choi, Ildoo Kim, Jin Bong Lee

In this study, we investigate the existence, uniqueness, and maximal regularity estimates of solutions to homogeneous initial value problems involving time-measurable pseudo-differ…

math.AP2025

Strichartz and local smoothing estimates for the fractional SchrÃ¶dinger equations over fractal time

Jin Bong Lee, Sanghyuk Lee, Luz Roncal

We obtain Strichartz-type estimates for the fractional SchrÃ¶dinger operator $f \mapsto e^{i t (- I^)^{I^^{3} /2}} f$ over a time set $E$ of fractal dimension. To obtain those estimates ca…

Sharp L2 Estimates for (2+1)-dimensional oscillatory integral operators with homogeneous binomial phases

Maximal averages and non-transversality

A regularity theory for an initial value problem with a time-measurable pseudo-differential operator in a weighted Lp​-space

Strichartz and local smoothing estimates for the fractional SchrÃ¶dinger equations over fractal time

Sharp $L^{2}$ Estimates for $(2 + 1)$ -dimensional oscillatory integral operators with homogeneous binomial phases

A regularity theory for an initial value problem with a time-measurable pseudo-differential operator in a weighted $L_{p}$ -space