𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On curvature-homogeneous spaces of type (1,3)

✍ Scribed by Oldřich Kowalski; Alena Vanžurová

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
106 KB
Volume
284
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Curvature homogeneous spaces have been studied by many authors. In this paper, we introduce and study a natural modification of this class, namely so‐called curvature homogeneous spaces of type (1,3). We present a class of proper examples in every dimension and we prove a classification theorem in dimension 3 (for the generic case). We restrict ourselves to the Riemannian situation and to curvature homogeneity of order zero.

📜 SIMILAR VOLUMES

Littlewood–Paley characterizations for H
Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type
✍ Yongsheng Han; Detlef Müller; Dachun Yang 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 384 KB

## Abstract Let (𝒳, __d__,__μ__) be a space of homogeneous type in the sense of Coifman and Weiss. Assuming that __μ__ satisfies certain estimates from below and there exists a suitable Calderón reproducing formula in __L__ ^2^(𝒳), the authors establish a Lusin‐area characterization for the atomic

Real interpolations for Besov and Triebe
Real interpolations for Besov and Triebel-Lizorkin spaces on spaces of homogeneous type
✍ Dachun Yang 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 226 KB

## Abstract The author establishes a full real interpolation theorem for inhomogeneous Besov and Triebel‐Lizorkin spaces on spaces of homogeneous type. The corresponding theorem for homogeneous Besov and Triebel‐Lizorkin spaces is also presented. Moreover, as an application, the author gives the re

The Sharp Maximal Function on Spaces of
The Sharp Maximal Function on Spaces of Generalized Homogeneous Type
✍ Qinsheng Lai 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 383 KB

The notion of spaces of a generalized homogeneous type is developed in [2]. In this paper, we introduce the sharp maximal function in this general setting, and establish the equivalence of the L p norms between the sharp maximal function and the Hardy Littlewood maximal function, as well the John Ni

On Homogeneous Spaces of Metric Groups
On Homogeneous Spaces of Metric Groups
✍ Jürgen Flachsmeyer 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 416 KB

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

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