Results 21 to 30 of about 508 (55)
An endpoint estimate for product singular integral operators on stratified Lie groups [PDF]
, 2023 We establish hyperweak boundedness of area functions, square functions, maximal operators and Calder\'on--Zygmund operators on products of two stratified Lie groups.
arxiv +1 more source
Coercive Inequalities and U-Bounds [PDF]
arXiv, 2021 We prove Poincar\'e and Log$^{\beta}$-Sobolev inequalities for probability measures on step-two Carnot groups.
arxiv
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
Inductive algebras for the motion group of the plane [PDF]
arXiv, 2022 Each irreducible representation of the motion group of the plane has a unique maximal inductive algebra, and it is self adjoint.
arxiv
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
wiley +1 more source
Polarizing Anisotropic Heisenberg Groups [PDF]
Analysis and Mathematical Physics 2020, 2019 We expand the class of polarizable Carnot groups by implementing a technique to polarize anisotropic Heisenberg groups.
arxiv +1 more source
Holomorphic harmonic analysis on complex reductive groups
, 2007 We define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties like the Fourier inversion formula, and give some applications.
An, Jinpeng, Qian, Min, Wang, Zhengdong
core +1 more source
Yamabe-type equations on Carnot groups
, 2017 This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity.
Bisci, Giovanni Molica +1 more
core +1 more source
Rankin-Selberg integrals for principal series representations of GL(n) [PDF]
arXiv, 2021 We prove that the local Rankin--Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin--Selberg subgroups, up to certain constants given by the local gamma factors.
arxiv
C1,α-rectifiability in low codimension in Heisenberg groups
Analysis and Geometry in Metric SpacesA natural higher-order notion of C1,α{C}^{1,\alpha }-rectifiability ...
Idu Kennedy Obinna +1 more
doaj +1 more source