Results 21 to 25 of about 268,355 (25)

The local sharp maximal function and BMO on locally homogeneous spaces [PDF]

arXiv, 2015
We prove a local version of Fefferman-Stein inequality for the local sharp maximal function, and a local version of John-Nirenberg inequality for locally BMO functions, in the framework of locally homogeneous spaces, in the sense of Bramanti-Zhu [Manuscripta Math. 138 (2012), no. 3-4, 477-528].
arxiv  

Local Hausdorff Measure [PDF]

arXiv, 2016
A local Hausdorff dimension is defined on a metric space. We study its properties and use it to define a local Hausdorff measure. We show that in the case that in the local Hausdorff measure is finite we can recover the global Hausdorff dimension from the local one. Lastly, for a variable Ahlfors Q-regular measure on a compact metric space, we show the
arxiv  

Local Moufang sets and local Jordan pairs [PDF]

arXiv, 2016
In this paper, we extend the theory of special local Moufang sets. We construct a local Moufang set from every local Jordan pair, and we show that every local Moufang set satisfying certain (natural) conditions gives rise to a local Jordan pair. We also explore the connections between these two constructions.
arxiv  

Inheritance of local topological properties of schemes [PDF]

arXiv
This paper shows that for certain local topological properties, given a locally quasi-finite, flat and locally finitely presented map of schemes $f\colon X\to Y$, if $Y$ has the property, then so does $X$. We also show that being locally topologically noetherian or locally connected or having locally finitely many irreducible components are examples ...
arxiv  

Annihilator of local cohomology modules under localization and completion [PDF]

arXiv
Let $(R, \frak m)$ be a Noetherian local ring. This paper deals with the annihilator of Artinian local cohomology modules $H^i_{\frak m}(M)$ in the relation with the structure of the base ring $R$, for non negative integers $i$ and finitely generated $R$-modules $M$.
arxiv