✦ LIBER ✦

On Homogeneous Spaces of Metric Groups

✍ Scribed by Jürgen Flachsmeyer

Publisher: John Wiley and Sons
Year: 1985
Tongue: English
Weight: 416 KB
Volume: 120
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19851200119

No coin nor oath required. For personal study only.

✦ Synopsis

Now 6 and rjt are open, hence r] is open. Then ' p is open because i, and i, are topological. c]

📜 SIMILAR VOLUMES

CoGalois groups as metric spaces

✍ Edgar Enochs; Sergio Estrada 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## Abstract The coGalois group associated to a torsion free cover of a ℤ‐module are known to have a canonical topology. In this paper we will see that this topology can be deduced by __p^k^__‐roots of elements of coGalois groups over ℤ~__p__~ (__p__ is a prime). We shall investigate in the metric a

Duals of Hardy spaces on homogeneous gro

Duals of Hardy spaces on homogeneous groups

✍ Marcin Bownik; Gerald B. Folland 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB

## Abstract Hardy spaces on homogeneous groups were introduced and studied by Folland and Stein [3]. The purpose of this note is to show that duals of Hardy spaces __H__^__p__^ , 0 < __p__ ≤ 1, on homogeneous groups can be identified with Morrey–Campanato spaces. This closes a gap in the original p

Generating Flows on Metric Spaces

✍ Craig Calcaterra; David Bleecker 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 212 KB

The notion of an arc field on a locally complete but not necessarily locally . compact metric space is introduced as a generalization of a vector field on a manifold. Generalizing the Cauchy᎐Lipschitz Theorem, sufficient conditions on arc fields are given under which the existence and uniqueness of

Problems on Discrete Metric Spaces

✍ Edited by Peter J. Cameron 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 100 KB

The names of the originators of a problem are given where known and different from the presenter of the problem at the conference.

Interpolation properties of Besov spaces

Interpolation properties of Besov spaces defined on metric spaces

✍ Amiran Gogatishvili; Pekka Koskela; Nageswari Shanmugalingam 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 198 KB

## Abstract Let __X__ = (__X__, __d__, __μ__)be a doubling metric measure space. For 0 < __α__ < 1, 1 ≤__p__, __q__ < ∞, we define semi‐norms equation image When __q__ = ∞ the usual change from integral to supremum is made in the definition. The Besov space __B~p, q~^α^__ (__X__) is the set of th

Computational complexity on computable m

Computational complexity on computable metric spaces

✍ Klaus Weirauch 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 344 KB

## Abstract We introduce a new Turing machine based concept of time complexity for functions on computable metric spaces. It generalizes the ordinary complexity of word functions and the complexity of real functions studied by Ko [19] et al. Although this definition of TIME as the maximum of a gene