Results 61 to 70 of about 223,534 (172)

A Measure Zero UDS in the Heisenberg Group

open access: yesBruno Pini Mathematical Analysis Seminar, 2016
We show that the Heisenberg group contains a measure zero set N such that every real-valued Lipschitz function is Pansu differentiable at a point of N.
Andrea Pinamonti, Gareth Speight
doaj   +1 more source

Some Nonlocal Operators in the First Heisenberg Group

open access: yesFractal and Fractional, 2017
In this paper we construct some nonlocal operators in the Heisenberg group. Specifically, starting from the Grünwald-Letnikov derivative and Marchaud derivative in the Euclidean setting, we revisit those definitions with respect to the one of the ...
Fausto Ferrari
doaj   +1 more source

Paley type inequality for the Fourier transform on the Heisenberg group [PDF]

open access: yesarXiv, 2013
A Paley type inequality for the Fourier transform on $H^p(H^n);$ the Hardy space on the Heisenberg group, is obtained for $0 < p \leq 1.$
arxiv  

Regularity for variational problems in the Heisenberg group [PDF]

open access: yesarXiv, 2017
We study the regularity of minima of scalar variational integrals of $p$-growth, $1
arxiv  

Non-local elliptic systems on the Heisenberg group

open access: yesElectronic Journal of Differential Equations, 2016
We present Liouville type results for certain systems of nonlinear elliptic equations containing fractional powers of the Laplacian on the Heisenberg group.
Nasser Al-Salti, Sebti Kerbal
doaj  

Tubular Surfaces Around Timelike Biharmonic Curves in Lorentzian Heisenberg Group Heis3

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper, we describe a new method for constructing a tubular surface surrounding a timelike biharmonic curve in the Lorentzian Heisenberg group Heis3. Firstly, we characterize timelike biharmonic curves in terms of their curvature and torsion. Also,
Körpinar Talat, Turhan Essin
doaj   +1 more source

Geometry of left invariant Randers metric on the Heisenberg group [PDF]

open access: yesarXiv, 2019
In this paper, we investigate the geometry of left-invariant Randers metrics on the Heisenberg group.
arxiv  

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