Real-Variable Theory of Musielak-Orlicz Hardy Spaces

The main purpose of this book is to give a detailed and complete survey of recent progress related to real-variable theory and Musielak-Orlicz Hardy type function spaces, and to lay the foundations for further applications.The real-variable theory of function spaces has always been at the core of harmonic analysis. Recently, in order to solve some endpoint or sharp problems of analysis, some more general Musielak-Orlicz Hardy type function spaces were introduced. These spaces are defined via growth functions which may vary in both the spatial variables and the variable t. Therefore, by selecting some special growth functions, Musielak-Orlicz Hardy type spaces may have subtler and finer structures.