Results 11 to 20 of about 310 (54)

Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type

open access: yesAnalysis 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

open access: yesProceedings 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

Compact Simple Lie Groups and Their C-, S-, and E-Transforms [PDF]

open access: yes, 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

Homological stability for Artin monoids

open access: yesProceedings 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

Spectral multipliers for Laplacians with drift on Damek-Ricci spaces [PDF]

open access: yes, 2013
We prove a multiplier theorem for certain Laplacians with drift on Damek-Ricci spaces, which are a class of Lie groups of exponential growth. Our theorem generalizes previous results obtained by W. Hebisch, G. Mauceri and S.
Ottazzi, Alessandro, Vallarino, Maria
core   +1 more source

Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups [PDF]

open access: yes, 2018
In this note we prove the Stein-Weiss inequality on general homogeneous Lie groups. The obtained results extend previously known inequalities. Special properties of homogeneous norms play a key role in our proofs.
Kassymov, Aidyn   +2 more
core   +2 more sources

A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries

open access: yesAnalysis 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

Weighted Hardy type inequalities on the Heisenberg group ℍ^n

open access: yes, 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

Subelliptic Bourgain-Brezis Estimates on Groups [PDF]

open access: yes, 2008
We show that divergence free vector fields which belong to L^1 on stratified, nilpotent groups are in the dual space of functions whose sub-gradient are L^Q integrable where Q is the homogeneous dimension of the group.
Chanillo, Sagun, Van Schaftingen, Jean
core   +2 more sources

Hardy and Rellich type inequalities with two weight functions

open access: yes, 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

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