20 citations · 69 across the 14 of their papers we have counts for
10 papers · 1 filter
Bochner-Riesz means on the Heisenberg group
Detlef Müller, Lars Niedorf, Andreas Seeger +1
We prove new boundedness results for Bochner-Riesz means associated with the spectral decomposition of the sub-Laplacian on the Heisenberg group . Our results ho…
-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…
Bounds on pseudodifferential operators and Fourier restriction for Schatten classes
Detlef Müller
As main result, we show that a pseudodifferential operator in the Weyl calculus, whose symbol has compact Fourier support, lies in the Schatten class if and only if…
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…
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…
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…
Problems of Harmonic Analysis related to finite type hypersurfaces in R^3, and Newton polyhedra
Detlef Müller
This article, which grew out of my lecture at the conference "Analysis and Applications: A Conference in Honor of Elias M. Stein" in May 2011, is intended to give an overview on a…
Sharp -estimates for maximal operators associated to hypersurfaces in $\bR^3$ for
Isroil A. Ikromov, Michael Kempe, Detlef Müller
We study the boundedness problem for maximal operators $\M$ associated to smooth hypersurfaces in 3-dimensional Euclidean space. For we prove that if no affine tangent p…
On adapted coordinate systems
Isroil A. Ikromov, Detlef Müller
The notion of an adapted coordinate system, introduced by V.I.Arnol'd, plays an important role in the study of asymptotic expansions of oscillatory integrals. In two dimensions, A.…
Holomorphic L^p-type for sub-Laplacians on connected Lie groups
Jean Ludwig, Detlef Müller, Sofiane Souaifi
We study the problem of determining all connected Lie groups which have the following property (hlp): every sub-Laplacian on is of holomorphic -type for $1\leq p<\…