Holomorphic Triebel–Lizorkin Spaces
✍ Scribed by Joaquı́n M. Ortega; Joan Fàbrega
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 542 KB
- Volume
- 151
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
The goal of this work is to obtain characterizations of the holomorphic Triebel Lizorkin spaces in terms of Littlewood Paley functions, admissible area functions, complex tangential derivatives, and boundary values. Furthermore, we obtain results on duality, complex interpolation, and traces on submanifolds.
📜 SIMILAR VOLUMES
## Abstract We show that the Triebel‐Lizorkin sequence spaces are, in an appropriate context, genuine mixed‐norm spaces, then use this identification together with the general machinery developed in conjunction with the latter scale of spaces to establish interpolation, duality, factorization, and
## Abstract We discuss the existence and unicity of translation and dilation commuting realizations of the homogeneous spaces \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\dot{B}\_{{p},{q}}^{s}({\mathbb R}^n\!)$\end{document} and \documentclass{article}\usepackage{am
## Abstract The purpose of this paper is to develop a theory of the Besov‐Morrey spaces and the Triebel‐Lizorkin‐Morrey spaces on domains in **R**^__n__^. We consider the pointwise multiplier operator, the trace operator, the extension operator and the diffeomorphism operator. Not only to domains i