Results 1 to 10 of about 508 (55)
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
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
Nowhere differentiable intrinsic Lipschitz graphs
Bulletin of the London Mathematical Society, Volume 53, Issue 6, Page 1766-1775, December 2021., 2021 Abstract We construct intrinsic Lipschitz graphs in Carnot groups with the property that, at every point, there exist infinitely many different blow‐up limits, none of which is a homogeneous subgroup. This provides counterexamples to a Rademacher theorem for intrinsic Lipschitz graphs.
Antoine Julia +2 more
wiley +1 more source
Affine opers and conformal affine Toda
Journal of the London Mathematical Society, Volume 104, Issue 5, Page 2148-2207, December 2021., 2021 Abstract For g a Kac–Moody algebra of affine type, we show that there is an AutO‐equivariant identification between FunOpg(D), the algebra of functions on the space of g‐opers on the disc, and W⊂π0, the intersection of kernels of screenings inside a vacuum Fock module π0.
Charles A. S. Young
wiley +1 more source
Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups
Journal of the London Mathematical Society, Volume 103, Issue 3, Page 1066-1119, April 2021., 2021 Abstract We prove an almost everywhere convergence result for Bochner–Riesz means of Lp functions on Heisenberg‐type groups, yielding the existence of a p>2 for which convergence holds for means of arbitrarily small order. The proof hinges on a reduction of weighted L2 estimates for the maximal Bochner–Riesz operator to corresponding estimates for the ...
Adam D. Horwich, Alessio Martini
wiley +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
Test vectors for non‐Archimedean Godement–Jacquet zeta integrals
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 92-99, February 2021., 2021 Abstract Given an induced representation of Langlands type (π,Vπ) of GLn(F) with F non‐Archimedean, we show that there exist explicit choices of matrix coefficient β and Schwartz–Bruhat function Φ for which the Godement–Jacquet zeta integral Z(s,β,Φ) attains the L‐function L(s,π).
Peter Humphries
wiley +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
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
On depth zero L‐packets for classical groups
Proceedings of the London Mathematical Society, Volume 121, Issue 5, Page 1083-1120, November 2020., 2020 Abstract By computing reducibility points of parabolically induced representations, we construct, to within at most two unramified quadratic characters, the Langlands parameter of an arbitrary depth zero irreducible cuspidal representation π of a classical group (which may be not‐quasi‐split) over a non‐archimedean local field of odd residual ...
Jaime Lust, Shaun Stevens
wiley +1 more source