4 papers
Sharp estimates for the Fourier transform of surface-carried measures and maximal operators associated with hypersurfaces in with vanishing Gaussian curvature
Isroil A. Ikromov, Gayrat Toshpulatov
In this paper, we study problems related to harmonic analysis on hypersurfaces in with zero Gaussian curvature and given as graphs of polynomial functions. We deriv…
-estimates for FIO-cone multipliers
Stefan Buschenhenke, Spyridon Dendrinos, Isroil A. Ikromov +1
The classical cone multipliers are Fourier multiplier operators which localize to narrow -neighborhoods of the truncated light cone in frequency space. By composing such convo…
Sharp estimates for convolution operators associated to hypersurfaces in with height
Ibrokhimbek Akramov, Isroil A. Ikromov
In this article, we study the convolution operator with oscillatory kernel, which is related with solutions to the Cauchy problem for the strictly hyperbolic equations. The o…
Estimates for oscillatory integrals with phase having type singularities
Ibrokhimbek Akramov, Isroil A. Ikromov
In this paper, we consider estimates for the two-dimensional oscillatory integrals. The phase function of the oscillatory integrals is the linear perturbation of a function having…