On the Bloch space and convolution of functions in the Lp-valued case

  1. Blasco de la Cruz, Óscar
  2. Arregui Casaus, José Luis
Revista:
Collectanea mathematica

ISSN: 0010-0757

Any de publicació: 1997

Volum: 48

Fascicle: 4-6

Pàgines: 363-374

Tipus: Article

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Altres publicacions en: Collectanea mathematica

Resum

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.

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