Add to ORKGWe formulate and prove two versions of Miyachi�s theorem for connected, simply connected nilpotent Lie groups. This allows us to prove the sharpness of the constant 1/4 in the theorems of Hardy and of Cowling and Price for any nilpotent Lie group. These theorems are proved using a variant of Miyachi�s theorem for the group Fourier transform
Let G = H-n x K be the Heisenberg motion group, where K = U(n) acts on the Heisenberg group H-n = C-...
AbstractLet 1<p⩽2 and q be such that 1p+1q=1. It is well known that the norm of the Lp-Fourier trans...
We give a complete characterization of connected Lie groups with the Approximation Property for grou...
We formulate and prove two versions of Miyachi’s theorem for connected, simply connected nilpotent L...
We formulate and prove two versions of Miyachi’s theorem for connected, simply connected nilpotent...
We formulate and prove two versions of Miyachi's theorem for connected, simply connected nilpotent L...
AbstractLet G be a connected simply connected nilpotent Lie group. In [A. Baklouti, N. Ben Salah, Th...
In this paper we prove a new version of the Cowling-Price theorem for Fourier transforms on R-n. Usi...
The adapted Fourier transform, so-called nilpotent Fourier transform, was first introduced by D. Arn...
. We study weak analogues of the Paley-Wiener Theorem for both the scalarvalued and the operator-val...
A Paley-Wiener-type theorem is proved for connected and simply connected Lie groups
We give sharp remainder terms of Lp and weighted Hardy and Rellich inequalities on one of most gener...
AbstractA Paley-Wiener theorem for all connected, simply-connected two- and three-step nilpotent Lie...
AbstractThe authors consider irreducible representations π ϵ N̂ of a nilpotent Lie group and define ...
We prove L-P-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, which is one of most...
Let G = H-n x K be the Heisenberg motion group, where K = U(n) acts on the Heisenberg group H-n = C-...
AbstractLet 1<p⩽2 and q be such that 1p+1q=1. It is well known that the norm of the Lp-Fourier trans...
We give a complete characterization of connected Lie groups with the Approximation Property for grou...
We formulate and prove two versions of Miyachi’s theorem for connected, simply connected nilpotent L...
We formulate and prove two versions of Miyachi’s theorem for connected, simply connected nilpotent...
We formulate and prove two versions of Miyachi's theorem for connected, simply connected nilpotent L...
AbstractLet G be a connected simply connected nilpotent Lie group. In [A. Baklouti, N. Ben Salah, Th...
In this paper we prove a new version of the Cowling-Price theorem for Fourier transforms on R-n. Usi...
The adapted Fourier transform, so-called nilpotent Fourier transform, was first introduced by D. Arn...
. We study weak analogues of the Paley-Wiener Theorem for both the scalarvalued and the operator-val...
A Paley-Wiener-type theorem is proved for connected and simply connected Lie groups
We give sharp remainder terms of Lp and weighted Hardy and Rellich inequalities on one of most gener...
AbstractA Paley-Wiener theorem for all connected, simply-connected two- and three-step nilpotent Lie...
AbstractThe authors consider irreducible representations π ϵ N̂ of a nilpotent Lie group and define ...
We prove L-P-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, which is one of most...
Let G = H-n x K be the Heisenberg motion group, where K = U(n) acts on the Heisenberg group H-n = C-...
AbstractLet 1<p⩽2 and q be such that 1p+1q=1. It is well known that the norm of the Lp-Fourier trans...
We give a complete characterization of connected Lie groups with the Approximation Property for grou...