Results 1 to 10 of about 525 (67)
Averages and the $\ell^{q,1}$-cohomology of Heisenberg groups [PDF]
arXiv, 2019 Averages are invariants defined on the $\ell^1$ cohomology of Lie groups. We prove that they vanish for abelian and Heisenberg groups. This result completes work by other authors and allows to show that the $\ell^1$ cohomology vanishes in these cases.
Pansu, Pierre, Tripaldi, Francesca
arxiv +5 more sources
Journal of Mathematical Inequalities, 2022 Let G = ( RN ,◦,δλ ) be a homogeneous group, Q be the homogeneous dimension of G , X0,X1, . . . ,Xm be left invariant real vector fields on G and satisfy Hörmander’s rank condition on RN . Assume that X1, . . . ,Xm (m N − 1) are homogeneous of degree one
V. Guliyev
semanticscholar +1 more source
A Cornucopia of Carnot Groups in Low Dimensions
Analysis and Geometry in Metric Spaces, 2022 Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating.
Le Donne Enrico, Tripaldi Francesca
doaj +1 more source
Advanced Nonlinear Studies, 2022 In this article, we establish a Gaffney type inequality, in Wℓ,p{W}^{\ell ,p}-Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded geometry (hence, in particular, we have in mind noncompact manifolds)
Baldi Annalisa +2 more
doaj +1 more source
Centered Hardy-Littlewood maximal function on product manifolds
Advances in Nonlinear Analysis, 2022 Let X be the direct product of Xi where Xi is smooth manifold for 1 ≤ i ≤ k. As is known, if every Xi satisfies the doubling volume condition, then the centered Hardy-Littlewood maximal function M on X is weak (1,1) bounded.
Zhao Shiliang
doaj +1 more source
A density condition for interpolation on the Heisenberg group [PDF]
, 2010 (N). We prove a necessary and sufficient density conditionin order that such subsspaces possess the interpolation property with respect toa class of discrete subsets of N that includes the integer lattice.
B. Currey, A. Mayeli
semanticscholar +1 more source
Intertwining operators for the generalized principal series on a symmetric R -space [PDF]
, 2012 Three questions about the intertwining operators for the generalized principal series on a symmetric R-space are solved : description of the functional kernel, both in the noncompact and in the compact picture , domain of convergence, meromorphic ...
J. Clerc
semanticscholar +1 more source
Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type
Analysis and Geometry in Metric Spaces, 2020 In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Gong Ruming +3 more
doaj +1 more source
Compact Simple Lie Groups and Their C-, S-, and E-Transforms [PDF]
, 2005 New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank $2\leq ...
Patera, Jiri
core +2 more sources
A pseudo-differential calculus on the Heisenberg group [PDF]
, 2014 In this note we present a symbolic pseudo-differential calculus on the Heisenberg group. We particularise to this group our general construction [4,3,2] of pseudo-differential calculi on graded groups.
Fischer, Veronique, Ruzhansky, Michael
core +4 more sources