## 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
Calderón Couples of Lorentz Spaces
✍ Scribed by Joan Cerdà; Joaquim Martín
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 204 KB
- Volume
- 221
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
It is known that if an Orlicz function space is k-uniformly rotund for some k G 2, then it must be uniformly convex. In the paper, we show that a similar result holds in Lorentz᎐Orlicz function spaces.
## Abstract We define weak Herz spaces $ \dot K ^{\alpha , p, \infty} \_{q} $(ℝ^__n__^) which are the weak version of the ordinary Herz spaces $ \dot K ^{\alpha , p} \_{q} $(ℝ^__n__^). We consider the boundedness of Calderón‐Zygmund operators from $ \dot K ^{\alpha , p} \_{q} $ to $ \dot K ^{\alpha
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