Results 1 to 10 of about 43,970 (267)

Some Notes of Homogeneous Besov–Lorentz Spaces

Journal of Mathematics, 2023
In this paper, we consider some properties of homogeneous Besov–Lorentz spaces. First, we get some relationship between B˙p0s,q,B˙p1s,qθ,r and Besov–Lorentz spaces, and then, we obtain the scaling property of B˙p,rs,q and F˙p,rs,q.
Zhenzhen Lou
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Continuous Measures on Homogenous Spaces [PDF]

Annales de l'Institut Fourier, 2009
In this paper we generalize Wiener’s characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probability measures on compact semisimple Lie groups and nilmanifolds to be continuous. The methods use only simple properties of heat kernels.
Björklund, Michael, Fish, Alexander
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Extrapolation to Morrey Banach spaces on spaces of homogeneous type

Analysis and Geometry in Metric Spaces
This paper introduces the Morrey Banach spaces on spaces of homogeneous type. We establish the Rubio de Francia extrapolation theory for Morrey Banach spaces on spaces of homogeneous type.
Ho Kwok-Pun
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Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces

Symmetry, Integrability and Geometry: Methods and Applications, 2008
This paper is a sequel to [Caine A., Pickrell D., Int. Math. Res. Not., to appear, arXiv:0710.4484], where we studied the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type
Doug Pickrell
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Homogeneous Ultrametric Spaces

Journal of Algebra, 1996
Fortsetzung von zwei vorangehenden Arbeiten über verallgemeinerte ultrametrische Räume [the authors, Generalized ultrametric spaces I, Abh. Math. Semin. Univ. Hamb. 66, 55-73 (1996); and Part II (1997)]. Es wird der Begriff des homogenen ultrametrischen Raumes eingeführt [the authors, C. R. Math. Acad. Sci., Soc. R. Can. 18, 1-16 (1996; Zbl 0853.54029)]
Priess-Crampe, S., Ribenboim, P.
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On Holonomy and Homogeneous Spaces [PDF]

Nagoya Mathematical Journal, 1957
In general a homogeneous space admits many invariant affine connections. Among these are certain connections which appear in many ways to be more natural than the others. We refer to the connections which K. Nomizu in [4] calls canonical affine connections of the first kind.
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Natural Intrinsic Geometrical Symmetries

Symmetry, Integrability and Geometry: Methods and Applications, 2009
A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces of constant Riemannian curvature ...
Stefan Haesen, Leopold Verstraelen
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Right amenable left group sets and the Tarski-FØlner theorem [PDF]

International Journal of Group Theory, 2017
‎We introduce right amenability‎, ‎right FØlner nets‎, ‎and right paradoxical decompositions for left homogeneous spaces and prove the Tarski-FØlner theorem for left homogeneous spaces with finite stabilisers‎.
Simon Wacker
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Ancient solutions of the homogenous Ricci flow on flag manifolds

Extracta Mathematicae, 2021
For any flag manifold M=G/K of a compact simple Lie group G we describe non-collapsing ancient invariant solutions of the homogeneous unnormalized Ricci flow.
S. Anastassiou, I. Chrysikos
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Hausdorff operators on homogeneous spaces of locally compact groups

Журнал Белорусского государственного университета: Математика, информатика, 2020
Hausdorff operators on the real line and multidimensional Euclidean spaces originated from some classical summation methods. Now it is an active research area. Hausdorff operators on general groups were defined and studied by the author since 2019.
Adolf R. Mirotin
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