Results 11 to 20 of about 46 (37)
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
Homological stability for Artin monoids
Proceedings of the London Mathematical Society, Volume 121, Issue 3, Page 537-583, September 2020., 2020 Abstract We prove that certain sequences of Artin monoids containing the braid monoid as a submonoid satisfy homological stability. When the K(π,1) conjecture holds for the associated family of Artin groups, this establishes homological stability for these groups.
Rachael Boyd
wiley +1 more source
Weighted Hardy type inequalities on the Heisenberg group ℍ^n
, 2016 In the present article, we provide a sufficient condition on a pair of nonnegative weight functions V and W on the Heisenberg group Hn, so that we establish a general Lp Hardy type inequality involving these weights with a remainder term.
Abdullah Yener
semanticscholar +1 more source
Analysis and Geometry in Metric Spaces, 2018 Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance.
Le Donne Enrico
doaj +1 more source
Hardy and Rellich type inequalities with two weight functions
, 2016 In this work, we obtain several improved versions of two weight Hardy and Rellich type inequalities on the sub-Riemannian manifold R2n+1 defined by the vector fields Xj = ∂ ∂x j +2kyj |z|2k−2 ∂ ∂ l , Yj = ∂ ∂y j −2kx j |z|2k−2 ∂ ∂ l , j = 1,2, ...,n ...
S. Ahmetolan, I. Kombe
semanticscholar +1 more source
A SHARP UNCERTAINTY PRINCIPLE AND HARDY-POINCARE INEQUALITIES ON SUB-RIEMANNIAN MANIFOLDS
, 2012 We prove a sharp Heisenberg uncertainty principle inequality and Hardy-Poincaré inequality on the sub-Riemannian manifold R2n+1 = Rn ×Rn ×R defined by the vector fields: Xj = ∂ ∂x j +2kyj |z|2k−2 ∂ ∂ l , Yj = ∂ ∂y j −2kx j |z|2k−2 ∂ ∂ l , j = 1,2, ...,n ...
S. Ahmetolan, I. Kombe
semanticscholar +1 more source
Isometry Lie algebras of indefinite homogeneous spaces of finite volume
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 1115-1148, October 2019., 2019 Abstract Let g be a real finite‐dimensional Lie algebra equipped with a symmetric bilinear form ⟨·,·⟩. We assume that ⟨·,·⟩ is nil‐invariant. This means that every nilpotent operator in the smallest algebraic Lie subalgebra of endomorphisms containing the adjoint representation of g is an infinitesimal isometry for ⟨·,·⟩.
Oliver Baues +2 more
wiley +1 more source
Spectral multipliers on Lie groups of polynomial growth
, 1994 Let L be a left invariant sub-Laplacian on a connected Lie group G of polynomial volume growth, and let {EA, )A*> O} be the spectral resolution of L and m a bounded Borel measurable function on [0, oo) .
G. Alexopoulos, M. Ash
semanticscholar +1 more source
Hausdorff measure of the singular set of quasiregular maps on Carnot groups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 35, Page 2203-2220, 2003., 2003 Recently, the theory of quasiregular mappings on Carnot groups has been developed intensively. Let ν stand for the homogeneous dimension of a Carnot group and let m be the index of the last vector space of the corresponding Lie algebra. We prove that the (ν − m − 1)‐dimensional Hausdorff measure of the image of the branch set of a quasiregular mapping ...
Irina Markina
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