✦ LIBER ✦
Entropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators I
✍ Scribed by Dorothee Haroske; Hans Triebel
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 1021 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this paper we study weighted function spaces of type B(ℝ^n^, Q(x)) and F(ℝ^n^, Q(x)), where Q(x) is a weight function of at most polynomial growth. Of special interest are the weight functions Q(x) = (1 + |x|^2^)^α/2^ with α ϵ ℝ. The main result deals with estimates for the entropy numbers of compact embeddings between spaces of this type.