Operator–valued Fourier Multipliers on Periodic Triebel Spaces
✍ Scribed by Shang Quan Bu; Jin Myong Kim
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2004
- Tongue
- English
- Weight
- 190 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Let __X__ be a Banach space. We show that each __m__ : ℝ \ {0} → __L__ (__X__ ) satisfying the Mikhlin condition sup~__x__ ≠0~(‖__m__ (__x__ )‖ + ‖__xm__ ′(__x__ )‖) < ∞ defines a Fourier multiplier on __B__ ^__s__^ ~__p,q__~ (ℝ; __X__ ) if and only if 1 < __p__ < ∞ and __X__ is isomorp
## Abstract Presented is a general Fourier multiplier theorem for operator–valued multiplier functions on vector–valued Besov spaces where the required smoothness of the multiplier functions depends on the geometry of the underlying Banach space (specifically, its Fourier type). The main result cov