30 citations · 110 across the 14 of their papers we have counts for
14 papers
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…
The Hausdorff-Young inequality on Lie groups
Michael G. Cowling, Alessio Martini, Detlef Müller +1
We prove several results about the best constants in the Hausdorff-Young inequality for noncommutative groups. In particular, we establish a sharp local central version for compact…
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 maximal restriction theorem and Lebesgue points of functions in F(L^p)
Detlef Müller, Fulvio Ricci, James Wright
Fourier restriction theorems, whose study had been initiated by E.M. Stein, usually describe a family of a priori estimates of the L^q-norm of the restriction of the Fourier transf…
Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres
Julian Ahrens, Michael G. Cowling, Alessio Martini +1
A sharp spectral multiplier theorem of Mihlin--Hörmander type is proved for a distinguished sub-Laplacian on quaternionic spheres. This is the first such result on compact su…
Spectral multipliers on -step groups: topological versus homogeneous dimension
Alessio Martini, Detlef Müller
Let be a -step stratified group of topological dimension and homogeneous dimension . Let be a homogeneous sub-Laplacian on . By a theorem due to Christ and to…