On the Bloch space and convolution of functions in the Lp-valued case
- Blasco de la Cruz, Óscar
- Arregui Casaus, José Luis
ISSN: 0010-0757
Année de publication: 1997
Volumen: 48
Fascículo: 4-6
Pages: 363-374
Type: Article
D'autres publications dans: Collectanea mathematica
Résumé
We introduce the convolution of functions in the vector valued spacesH1(Lp)andH1(Lq)by means of Young’s Theorem, and we use this to show that Blochfunctions taking values in certain space of operators define bilinear boundedmaps in the product of those spaces for1≤p,q≤2. As a corollary, we get aMarcinkiewicz-Zygmund type result.