Sharp estimates for the Fourier transform of surface-carried measures and maximal operators associated with hypersurfaces in ${\mathbb{R}}^4$ with vanishing Gaussian curvature

Isroil A. Ikromov, Gayrat Toshpulatov

In this paper, we study problems related to harmonic analysis on hypersurfaces in ${\mathbb{R}}^4$ with zero Gaussian curvature and given as graphs of polynomial functions. We deriv…