✦ LIBER ✦
Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis
✍ Scribed by Dorothee D. Haroske; Iwona Piotrowska
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 259 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
This paper deals with atomic decompositions in spaces of type B^s^~p,q~ (ℝ^n^ , w), F^s^~p,q~ (ℝ^n^ , w), 0 < p < ∞, 0 < q ≤ ∞, s ∈ ℝ, where the weight function w belongs to some Muckenhoupt class A~r~. In particular, we consider the weight function w^Γ^~κ~ (x) = dist(x, Γ)^κ^, where Γ is some d ‐set, 0 < d < n, and κ > –(n – d). (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)