This is an announcement for the paper "Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators" by Nacib Albuquerque, Frederic Bayart, Daniel Pellegrino, and Seoane Sepulveda. Abstract: In this paper we obtain quite general forms for Hardy-Littlewood type inequalities. Moreover, when restricted to the original particular cases, our approach provides much simple and straightforward proofs. The technique used is a very recent interpolative approach; this method is also used in this paper to obtain better constants for vector-valued Bohnenblust-Hille type inequalities. Archive classification: math.FA Remarks: 7 pages Submitted from: jseoane@mat.ucm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1311.3177 or http://arXiv.org/abs/1311.3177