Jin Bong Lee

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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.…

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

Maximal averages and non-transversality

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