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Flat Pseudo-Riemannian Homogeneous Spaces with Non-Abelian Holonomy Group
Flat Pseudo-Riemannian Homogeneous Spaces Non-Abelian Holonomy Group
2010/12/8
We construct homogeneous flat pseudo-Riemannian manifolds with non-abelian fundamental group. In the compact case, all homogeneous flat pseudo-Riemannian manifolds are complete and have abelian linear...
Hardy spaces, Regularized BMO and the boundedness of Calderón-Zygmund operators on non-homogeneous spaces
non-homogeneous spaces Hardy spaces BMO Calder´ on - Zygmund operator
2010/12/1
One defines a non-homogeneous space (X, μ) as a metric space equipped with a non-doubling measure μ so that the volume of the ball with center x, radius r has an upper bound of the form rn for some n ...
Zero Cycles of Degree One on Principal Homogeneous Spaces
Zero Cycles of Degree One Principal Homogeneous Spaces
2010/12/10
Let k be a field of characteristic different from 2. Let G be a simply connected or adjoint semisimple algebraic k-group which does not contain a simple factor of type E8 and such that every exception...
A Remark on Boundedness of Calderon-Zygmund Operators in Non-Homogeneous Spaces
Calder\'on--Zygmund operator Hardy space $L^{1 \ \infty}(\mu)$ Non-doubling measure
2007/12/11
Let $\mu$ be a Radon measure on $\rd$ which may be non-doubling. The only condition satisfied by $\mu$ is that $\mu(B(x,r))\le Cr^n$ for all $x\in\rd$, $r>0$ and some fixed $0e d$. In this paper, ...