Several remarks on Musielak–Orlicz Hardy spaces

Abstract

The aim of this article is two-fold: firstly to give a survey of the known theory of Musielak–Orlicz Hardy spaces developed in recent years, secondly to simplify definitions and illustrate the theory with new examples and properties. In particular the authors come back to the finite atomic decomposition theorem and to Musielak–Orlicz Hardy spaces of holomorphic functions.