This is an announcement for the paper "Estimates for vector-valued holomorphic functions and Littlewood-Paley-Stein theory" by Mark Veraar and Lutz Weis. Abstract: In this paper we consider generalized square function norms of holomorphic functions with values in a Banach space. One of the main results is a characterization of embeddings of the form \[L^p(X)\subseteq \gamma(X) \subseteq L^q(X),\] in terms of the type $p$ and cotype $q$ for the Banach space $X$. As an application we prove $L^p$-estimates for vector-valued Littlewood-Paley-Stein $g$-functions and derive an embedding result for real and complex interpolation spaces under type and cotype conditions. Archive classification: math.FA Mathematics Subject Classification: Primary 46B09, Secondary: 42B25, 46B70, 46E40, 46B20, 47D07 Submitted from: m.c.veraar@tudelft.nl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1506.08013 or http://arXiv.org/abs/1506.08013