The boundedness of commutators on locally compact Vilenkin groups
Let G be a locally compact Vilenkin group. In this paper, the authors investigate the boundedness of commutators of singluar integral operator on Triebel-Lizorkin spaces on G. Furthermore, the boundedness on the Herz-type Triebel-Lizorkin spaces are also
Canqin Tang, Qingguo Li, Bolin Ma
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A dichotomy property for locally compact groups [PDF]
We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of $l_1$. For that purpose, we transfer to general locally compact groups the notion of interpolation ($I_0$) set, which was defined by Hartman and Ryll-Nardzewsky [25] for locally compact abelian groups.
arxiv
Gelfand Triple Isomorphisms for Weighted Banach Spaces on Locally Compact Groups
As in [1], we use the concept of wavelet transform on a locally compact group G to construct weighted Banach spaces H1w (G), we being a submultiple weight function on G. The main result of this paper provides an extension of a unitary mapping U from H(G1)
S.S. Pandey, Ashish Kumar
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Coarse structures on locally compact abelian groups [PDF]
Motivated by the study of the large-scale geometry of topological groups, we investigate particular families of subsets of topological groups named group ideals. We compare different group ideals in the realm of locally compact groups. In particular, we show that a subset of a locally compact abelian group is relatively compact if and only if it is ...
arxiv
A Classification of Compact Cohomogeneity One Locally Conformal Kähler Manifolds
In this paper, we apply a result of the classification of a compact cohomogeneity one Riemannian manifold with a compact Lie group G to obtain a classification of compact cohomogeneity one locally conformal Kähler manifolds.
Daniel Guan
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Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
In this work it is shown that a necessary condition for the completeness of the geodesics of left invariant pseudo-Riemannian metrics on Lie groups is also sufficient in the case of 3-dimensional unimodular Lie groups, and not sufficient for 3 ...
Alberto Medina, Shirley Bromberg
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Virtual Lie subgroups of locally compact groups [PDF]
We examine subgroups of locally compact groups that are continuous homomorphic images of connected Lie groups and we give a criterion for being such an image. We also provide a new characterisation of Lie groups and a characterisation of groups that are images of connected locally compact groups.
arxiv
On the regular representation of a nonunimodular locally compact group
M. Duflo, C. Moore
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Conformational changes in the motor ATPase CpaF facilitate a rotary mechanism of Tad pilus assembly. [PDF]
Yen IY+5 more
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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]
Gu Y, Wang J.
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