Real-Variable Theory of Musielak-Orlicz Hardy Spaces

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book Real-Variable Theory of Musielak-Orlicz Hardy Spaces by Dachun Yang, Yiyu Liang, Luong Dang Ky, Springer International Publishing
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Author: Dachun Yang, Yiyu Liang, Luong Dang Ky ISBN: 9783319543611
Publisher: Springer International Publishing Publication: May 9, 2017
Imprint: Springer Language: English
Author: Dachun Yang, Yiyu Liang, Luong Dang Ky
ISBN: 9783319543611
Publisher: Springer International Publishing
Publication: May 9, 2017
Imprint: Springer
Language: English

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.

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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.

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