Overview
- 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
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2182)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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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Authors and Affiliations
Bibliographic Information
Book Title: Real-Variable Theory of Musielak-Orlicz Hardy Spaces
Authors: Dachun Yang, Yiyu Liang, Luong Dang Ky
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-54361-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-54360-4Published: 10 May 2017
eBook ISBN: 978-3-319-54361-1Published: 09 May 2017
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIII, 468
Number of Illustrations: 1 b/w illustrations
Topics: Fourier Analysis, Functional Analysis, Operator Theory, Real Functions