On the Bloch space and convolution of functions in the $L^p$-valued case
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We introduce the convolution of functions in the vector valued spaces $H^1(L^P)$ and $H^1(L^q)$ by means of Young's Theorem, and we use this to show that Bloch functions taking values in certain space of operators define bilinear bounded maps in the product of those spaces for $1\leq p,q\leq 2$. As a corollary, we get a Marcinkiewicz-Zygmund type result.
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Arregi Lizarraga, Jesús María; and Blasco, Óscar. “On the Bloch space and convolution of functions in the $L^p$-valued case”. Collectanea Mathematica, vol.VOL 48, no. 4, pp. 363-7, https://raco.cat/index.php/CollectaneaMathematica/article/view/56398.
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