23 citations · 49 across the 13 of their papers we have counts for
14 papers
-Estimates for maximal averages along mixed homogeneous hypersurfaces in
Stefan Buschenhenke, Wenjuan Li, Detlef Müller +1
In this paper, we study -estimates for maximal averaging operators along hypersurfaces in which are the graph of a mixed homogeneous function…
-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…
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…
On the nonlinear Brascamp-Lieb inequality
Jonathan Bennett, Neal Bez, Stefan Buschenhenke +2
We prove a nonlinear variant of the general Brascamp-Lieb inequality. Instances of this inequality are quite prevalent in analysis, and we illustrate this with substantial applicat…
A Fourier restriction theorem for a perturbed hyperbolic paraboloid
Stefan Buschenhenke, Detlef Müller, Ana Vargas
In contrast to elliptic surfaces, the Fourier restriction problem for hypersurfaces of non-vanishing Gaussian curvature which admit principal curvatures of opposite signs is still…
The nonlinear Brascamp-Lieb inequality for simple data
Jonathan Bennett, Neal Bez, Stefan Buschenhenke +1
We establish a nonlinear generalisation of the classical Brascamp-Lieb inequality in the case where the Lebesgue exponents lie in the interior of the finiteness polytope. As a coro…
Estimates for maximal functions associated to hypersurfaces in with height Part I
S. Buschenhenke, S. Dendrinos, I. A. Ikromov +1
In this article, we continue the study of the problem of -boundedness of the maximal operator associated to averages along isotropic dilates of a given, smooth hypersurfac…
A Fourier Restriction Theorem For A Twodimensional Surface Of Finite Type
Stefan Buschenhenke, Detlef Müller, Ana Vargas
The problem of Fourier restriction estimates for smooth hypersurfaces S of finite type in R^3 is by now very well understood for a large class of hypersurfaces…
A sharp Lp Lq Fourier restriction theorem for a conical surface of finite type
Stefan Buschenhenke
We present a restriction theorem for the Fourier transform to a 2-dimensional conical surface of finite type, obtaining a sharp result, which improves previous work by Barcelo.