Results 11 to 20 of about 12,459,078 (317)

On the dimension of Kakeya sets in the first Heisenberg group [PDF]

arXiv, 2021
We define Kakeya sets in the Heisenberg group and show that the Heisenberg Hausdorff dimension of Kakeya sets in the first Heisenberg group is at least 3.
Jiayin Liu
semanticscholar   +2 more sources

THE EMBEDDINGS OF THE HEISENBERG GROUP INTO THE CREMONA GROUP [PDF]

Glasgow Mathematical Journal, 2021
AbstractIn this article, we describe the embeddings of the Heisenberg group into the Cremona group.
openaire   +6 more sources

Concentration-compactness results for systems in the Heisenberg group [PDF]

Opuscula Mathematica, 2020
In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal.
Patrizia Pucci, Letizia Temperini
doaj   +2 more sources

Riesz Potential on the Heisenberg Group [PDF]

Journal of Inequalities and Applications, 2011
The relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.
Jianxun He, Jinsen Xiao
doaj   +4 more sources

A frequency space for the Heisenberg group [PDF]

Annales de l'Institut Fourier, 2016
We here revisit Fourier analysis on the Heisenberg group H^d. Whereas, according to the standard definition, the Fourier transform of an integrable function f on H^d is a one parameter family of bounded operators on L 2 (R^d), we define (by taking ...
H. Bahouri, J. Chemin, R. Danchin
semanticscholar   +6 more sources

Existence for (p, q) critical systems in the Heisenberg group

Advances in Nonlinear Analysis, 2019
This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
doaj   +2 more sources

Nonlocal Harnack inequalities in the Heisenberg group [PDF]

Calculus of Variations and Partial Differential Equations, 2022
We deal with a wide class of nonlinear integro-differential problems in the Heisenberg-Weyl group Hn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Giampiero Palatucci, Mirco Piccinini
semanticscholar   +1 more source

On the critical Choquard-Kirchhoff problem on the Heisenberg group

Advances in Nonlinear Analysis, 2022
In this paper, we deal with the following critical Choquard-Kirchhoff problem on the Heisenberg group of the form: M ( ‖ u ‖ 2 ) ( − Δ H u + V ( ξ ) u ) = ∫ H N ∣ u ( η ) ∣ Q λ ∗ ∣ η − 1 ξ ∣ λ d η ∣ u ∣ Q λ ∗ − 2 u + μ f ( ξ , u ) , M\left(\Vert u{\Vert }
Xueqi Sun, Yueqiang Song, Sihua Liang
semanticscholar   +1 more source

Campana points on biequivariant compactifications of the Heisenberg group [PDF]

European Journal of Mathematics, 2020
We study Campana points on biequivariant compactifications of the Heisenberg group and confirm the log Manin conjecture introduced by Pieropan, Smeets, Tanimoto and Várilly-Alvarado.
Huan Xiao
semanticscholar   +1 more source

Generation of spin-polarized hot electrons at topological insulators surfaces by scattering from collective charge excitations

Communications Physics, 2021
A key feature of topological insulators, such as Bi2Se3 is their protected electronic surface states where the direction of spin is locked to their momentum.
Khalil Zakeri, Janek Wettstein, Christoph Sürgers   +2 more
doaj   +1 more source