✦ LIBER ✦
Local approximations and intrinsic characterization of spaces of smooth functions on regular subsets of ℝn
✍ Scribed by Pavel Shvartsman
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 332 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We give an intrinsic characterization of the restrictions of Sobolev $W^{k}_{p}$ (ℝ^n^ ), Triebel–Lizorkin $F^{s}_{pq}$(ℝ^n^ ) and Besov $B^{s}_{pq}$(ℝ^n^ ) spaces to regular subsets of ℝ^n^ via sharp maximal functions and local approximations. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)