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

• Autores: Óscar Blasco de la Cruz, José Luis Arregui Casaus
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 363-374
• Idioma: inglés
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• Resumen

  • 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.