Results 11 to 20 of about 67,654 (226)

Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument

Advanced Nonlinear Studies, 2021
The concentration-compactness principle for the Trudinger–Moser-type inequality in the Euclidean space was established crucially relying on the Pólya–Szegő inequality which allows to adapt the symmetrization argument.
Li Jungang, Lu Guozhen, Zhu Maochun
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Construction of Frames on the Heisenberg Groups

Analysis and Geometry in Metric Spaces, 2020
In this paper, we present a construction of frames on the Heisenberg group without using the Fourier transform. Our methods are based on the Calderón-Zygmund operator theory and Coifman’s decomposition of the identity operator on the Heisenberg group ...
Chang Der-Chen, Han Yongsheng, Wu Xinfeng   +2 more
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The solitary wave solutions of the stochastic Heisenberg ferromagnetic spin chain equation using two different analytical methods

Frontiers in Physics, 2023
Here, we consider the stochastic (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation which is forced by the multiplicative Brownian motion in the Stratonovich sense. We utilize the (G′/G)-expansion method and the mapping method to attain the
Farah M. Al-Askar
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Dorronsoro's theorem in Heisenberg groups [PDF]

Bulletin of the London Mathematical Society, 2020
A theorem of Dorronsoro from the 1980s quantifies the fact that real-valued Sobolev functions on Euclidean spaces can be approximated by affine functions almost everywhere, and at all sufficiently small scales. We prove a variant of Dorronsoro's theorem in Heisenberg groups: functions in horizontal Sobolev spaces can be approximated by affine functions
Orponen, Tuomas, Fässler, Katrin
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Heisenberg Groups as Platform for the AAG key-exchange protocol [PDF]

, 2014
Garber, Kahrobaei, and Lam studied polycyclic groups generated by number field as platform for the AAG key-exchange protocol. In this paper, we discuss the use of a different kind of polycyclic groups, Heisenberg groups, as a platform group for AAG by ...
Kahrobaei, Delaram, Lam, Ha T.
core   +1 more source

Some Weighted Hardy-Type Inequalities on Anisotropic Heisenberg Groups

Journal of Inequalities and Applications, 2011
We prove some weighted Hardy type inequalities associated with a class of nonisotropic Greiner-type vector fields on anisotropic Heisenberg groups.
Yang Qiao-Hua, Lian Bao-Sheng, Yang Fen
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Discrete Heisenberg-Weyl Group and modular group [PDF]

Letters in Mathematical Physics, 1995
12 pages, LaTeX ...
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Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups

Bulletin of Mathematical Sciences, 2020
In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant: ∫ℍ ...
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan   +2 more
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Wiener Process Effects on the Solutions of the Fractional (2 + 1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation

Mathematics, 2022
The stochastic fractional (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation (SFHFSCE), which is driven in the Stratonovich sense by a multiplicative Wiener process, is considered here.
Wael W. Mohammed, Farah M. Al-Askar, Clemente Cesarano, Thongchai Botmart, M. El-Morshedy   +4 more
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The lattice point counting problem on the Heisenberg groups [PDF]

, 2014
We consider the radial and Heisenberg-homogeneous norms on the Heisenberg groups given by $N_{\alpha,A}((z,t)) = \left(|z|^\alpha + A |t|^{\alpha/2}\right)^{1/\alpha}$, for $\alpha \ge 2$ and $A>0$.
Garg, Rahul, Nevo, Amos, Taylor, Krystal
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