Vector-valued Modulation Spaces and Localization Operators with Operator-valued Symbols
✍ Scribed by Patrik Wahlberg
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2007
- Tongue
- English
- Weight
- 369 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
## Abstract We consider generalized Calderón–Zygmund operators whose kernel takes values in the space of all continuous linear operators between two Banach spaces. In the spirit of the __T__ (1) theorem of David and Journé we prove boundedness results for such operators on vector‐valued Besov space
## Abstract It is shown that a Banach space __E__ has type __p__ if and only for some (all) __d__ ≥ 1 the Besov space __B__^(1/__p__ – 1/2)__d__^ ~__p__,__p__~ (ℝ^__d__^ ; __E__) embeds into the space __γ__ (__L__^2^(ℝ^__d__^ ), __E__) of __γ__ ‐radonifying operators __L__^2^(ℝ^__d__^ ) → __E__. A