Resumen de Extension of Pettis integration: Pettis operators and their integrals

Óscar Blasco de la Cruz , Lech Drewnowski

• In this note, the authors discuss the concepts of a Pettis operator, by which they mean a weak ^*–weakly continuous linear operator F from a dual Banach space to an L_1-space, and of its Pettis integral, understood simply as the dual operator F^* of F. Applications to radial limits in weak Hardy spaces of vector-valued harmonic and holomorphic functions are provided.