Imbedding theorems in Lizorkin-Triebel spaces
✍ Scribed by Yu. V. Netrusov
- Publisher
- Springer US
- Year
- 1989
- Tongue
- English
- Weight
- 470 KB
- Volume
- 47
- Category
- Article
- ISSN
- 1573-8795
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📜 SIMILAR VOLUMES
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 subm
This paper is devoted to the study of the superposition operator T f (g) := f • g in the framework of Lizorkin-Triebel spaces F s p,q (R) and Besov spaces B s p,q (R). For the case s > 1+(1/ p), 1 < p < ∞, 1 ≤ q ≤ ∞, it is natural to conjecture the following: the operator T f takes F s p,q (R) to it
## Abstract Previous authors have considered generalizations of the David‐Journé __T__1 theorem to the scale of Triebel ‐ Lizorkin spaces (IR^n^) under the __T__1 = 0 and __T__ = 0 assumptions, where __T__ is a (generalized) Calderon ‐ Zygmund operator. We prove boundedness on (IR^n^) under weaker
## 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