8 citations · 9 across the 6 of their papers we have counts for
9 papers
Estimates for maximal functions associated to hypersurfaces in with height Part II -- A geometric conjecture and its proof for generic 2-surfaces
Stefan Buschenhenke, Isroil A. Ikromov, Detlef Müller
In this article, we continue the study of -boundedness of the maximal operator associated to averages along isotropic dilates of a given, smooth hypersurface $S…
Factorisation in Restriction theory and near extremisers
Stefan Buschenhenke
We give an alternative argument to the application of the so-called Maurey- Nikishin-Pisier factorisation in Fourier restriction theory. Based on an induction-on-scales argument, o…
Fourier restriction for smooth hyperbolic 2-surfaces
Stefan Buschenhenke, Detlef Müller, Ana Vargas
We prove Fourier restriction estimates by means of the polynomial partitioning method for compact subsets of any sufficiently smooth hyperbolic hypersurface in threedimensional euc…
A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning
Stefan Buschenhenke, Detlef Müller, Ana Vargas
We consider a surface with negative curvature in which is a cubic perturbation of the saddle. For this surface, we prove a new restriction theorem, analogous to the theo…
Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid
Stefan Buschenhenke, Detlef Müller, Ana Vargas
We continue our research on Fourier restriction for hyperbolic surfaces, by studying local perturbations of the hyperbolic paraboloid which are of the form wher…
On Fourier restriction for finite-type perturbations of the hyperboloid
Stefan Buschenhenke, Detlef Müller, Ana Vargas
In this note, we continue our research on Fourier restriction for hyperbolic surfaces, by studying local perturbations of the hyperbolic paraboloid which are of the form $z…