## Abstract We determine the trace of Besov spaces \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$\mathfrak {B}^s\_{p,q}(\Omega )$\end{document} and Triebel‐Lizorkin spaces \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$\mathfrak {F}^s\_{p
Theorems on the traces and multipliers of functions from the Lizorkin-Triebel spaces
✍ Scribed by Yu. V. Netrusov
- Publisher
- Springer US
- Year
- 1995
- Tongue
- English
- Weight
- 251 KB
- Volume
- 77
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract The subject is traces of Sobolev spaces with mixed Lebesgue norms on Euclidean space. Specifically, restrictions to the hyperplanes given by __x__~1~ = 0 and __x~n~__ = 0 are applied to functions belonging to quasi‐homogeneous, mixed norm Lizorkin–Triebel spaces ; Sobolev spaces are obt
We study the boundedness of generalized Calderon᎐Zygmund operators acting ón Sobolev and, more generally, Triebel᎐Lizorkin spaces of arbitrary order of Ž ␥ . Ž ␥ . smoothness. We are able to relax the assumptions T x s 0 andror T \* x s 0, which have been required in earlier results by other authors