8 citations · 9 across the 8 of their papers we have counts for
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-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…