Hpboundedness of Calderón-Zygmund operators on product spaces
✍ Scribed by Yongsheng Han; Dachun Yang
- Publisher
- Springer-Verlag
- Year
- 2004
- Tongue
- French
- Weight
- 200 KB
- Volume
- 249
- Category
- Article
- ISSN
- 0025-5874
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We consider the boundedness of Calderón-Zygmund operators from H Kα,p q (R n ) to h Kα,p q (R n ), where H Kα,p q (R n ) is the Hardy space associated with the Herz space Kα,p q (R n ) and h Kα,p q (R n ) is the local version of H Kα,p q (R n ). We show Calderón's commutator is bounded from H Kα,p q
## 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