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Lorentz manifolds modelled on a Lorentz symmetric space
Journal of Geometry and Physics, 1990Let \((M,g)\) be a pseudo-Riemannian manifold and \((M_ 0,g_ 0)\) a pseudo-Riemannian symmetric space of the same dimension and signature. One says that \((M,g)\) is modelled on \((M_ 0,g_ 0)\) if, for any point \(\xi\in M\), there exists an isometry \(\phi_ \xi: T_ \xi M\rightarrow T_{u_ 0}M_ 0\) (\(u_ 0\) being a base point of \(M_ 0\)) such that ...
Cahen, Michel +4 more
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Additive Functionals on Lorentz Spaces
Canadian Mathematical Bulletin, 1984AbstractIf (X, β, μ) is a σ-finite, non-atomic measure space, and ϕ is an increasing non-negative concave function defined on the positive real numbers, we give a set of necessary and sufficient conditions for an additive functional T on the Lorentz space Nϕ to have an integral representation with a Caratheodory kernel.
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The Quarterly Journal of Mathematics, 1998
The weak-type Lorentz space \(\Lambda^{p,\infty}(w)\), \(00\);} \] 5) The weight \(w\) satisfies the \(B_p\) condition \[ \int_\infty^R w(s)s^{-p} ds dr\leq cR^{-p}\int_0^R w(s) ds \quad\text{for all \(R>0\).} \] In 4) and 5), \(c\) is a fixed nonnegative constant.
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The weak-type Lorentz space \(\Lambda^{p,\infty}(w)\), \(00\);} \] 5) The weight \(w\) satisfies the \(B_p\) condition \[ \int_\infty^R w(s)s^{-p} ds dr\leq cR^{-p}\int_0^R w(s) ds \quad\text{for all \(R>0\).} \] In 4) and 5), \(c\) is a fixed nonnegative constant.
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Mathematische Nachrichten, 2018
AbstractLet be a measurable function on with . We introduce the variable Hardy–Lorentz space for via the radial grand maximal function. Under the assumption that satisfies the log‐Hölder condition, we establish a version of Fefferman–Stein vector‐valued inequality in variable Lorentz space by interpolation. We also construct atomic decompositions
Yong Jiao +3 more
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AbstractLet be a measurable function on with . We introduce the variable Hardy–Lorentz space for via the radial grand maximal function. Under the assumption that satisfies the log‐Hölder condition, we establish a version of Fefferman–Stein vector‐valued inequality in variable Lorentz space by interpolation. We also construct atomic decompositions
Yong Jiao +3 more
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Journal of Soviet Mathematics, 1991
Sufficient conditions are obtained for maximality of the sequential order relation of events in Lorentz manifolds admitting a transitive group of motions.
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Sufficient conditions are obtained for maximality of the sequential order relation of events in Lorentz manifolds admitting a transitive group of motions.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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Satellite Communications in the New Space Era: A Survey and Future Challenges
IEEE Communications Surveys and Tutorials, 2021Oltjon Kodheli +2 more
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