Mingfeng Chen

most citedRational points near planar flat curves

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math.CA2025

Restriction and Kakeya maximal estimates in $R^{4}$

Tainara Borges, Tiklung Chan, Mingfeng Chen +3

By combining the planebrush argument of Katz and Zahl \cite{katz21} with the decoupling-incidence method of Wang and Wu \cite{WangWu2024}, we derive new bounds for the Fourier rest…

math.CA2025

Oscillatory integral operators and variable SchrÃ¶dinger propagators: beyond the universal estimates

Mingfeng Chen, Shengwen Gan, Shaoming Guo +3

We consider a class of HÃ¶rmander-type oscillatory integral operators in $R^{n}$ for $n \geq 3$ odd with real analytic phase. We derive weak conditions on the phase which en…

math.CA2025

A multi-parameter cinematic curvature

Mingfeng Chen, Shaoming Guo, Tongou Yang

We state a multi-parameter cinematic curvature condition, and prove $L^{p}$ bounds for related maximal operators. In particular, we verify a local smoothing conjecture of Zahl.

Restriction and Kakeya maximal estimates in R4

Oscillatory integral operators and variable SchrÃ¶dinger propagators: beyond the universal estimates

A multi-parameter cinematic curvature

Restriction and Kakeya maximal estimates in $R^{4}$