Real-Variable Theory of Musielak-Orlicz Hardy Spaces
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Beschreibung
The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of 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, motivated by certain questions in 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 variable and the growth variable. By selecting special growth functions, the resulting spaces may have subtler and finer structures, which are necessary in order to solve various endpoint or sharp problems.
This book is written for graduate students and researchers interested in function spaces and, in particular, Hardy-type spaces.
The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of 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, motivated by certain questions in 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 variable and the growth variable. By selecting special growth functions, the resulting spaces may have subtler and finer structures, which are necessary in order to solve various endpoint or sharp problems.
This book is written for graduate students and researchers interested in function spaces and, in particular, Hardy-type spaces.
Detailed and complete real-variable theory of Musielak-Orlicz Hardy type function spaces Detailed and self-contained arguments for the main results Presents some applications to endpoint or sharp problems of analysis Detailed references and more known related results of each chapter Includes supplementary material: sn.pub/extras
Autor*in
Dachun Yang
Themen in »Real-Variable Theory of Musielak-Orlicz Hardy Spaces«
Musielak-Orlicz function Hardy space atom maximal function Riesz transform Littlewood-Paley function dual space bilinear decomposition div-curl lemma commutator 42B35, 46E30, 42B25, 42B20, 42B30, 42B15, 47B06, 47G30
Stimmen zu »Real-Variable Theory of Musielak-Orlicz Hardy Spaces«
“This book provides a detailed and complete survey of recent progress related to the real-variable theory of Musielak-Orlicz Hardy-type function spaces and lays the foundation for further applications. … This book is written for graduate students and researchers interested in function spaces and, in particular, Hardy-type spaces.” (Paul Alton Hagelstein, Mathematical Reviews, October, 2017)
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