Results 1 to 10 of about 40 (31)
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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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