Overview
- The arguments for the main results are detailed and self-contained
- At least one typical and easily explicable example is given for each important notion further clarifying the relationship between the known and the present notions
- Detailed references for the content of each chapter are given. Also, well-known related results and some unsolved problems, which will be of interest to the reader, are presented, which might be interesting to the reader
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2084)
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Table of contents (8 chapters)
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Front Matter
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ℝ D with Non-doubling Measures μ
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Front Matter
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ℝ D with Non-doubling Measures μ
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Non-homogeneous Spaces (X, v)
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Front Matter
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Back Matter
Keywords
About this book
The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to-follow examples, and interesting unsolved problems.
The theory of the Hardy space is a fundamental tool for Fourier analysis, with applications for and connections to complex analysis, partial differential equations, functional analysis and geometrical analysis. It also extends to settings where the doubling condition of the underlying measures may fail.
Authors and Affiliations
Bibliographic Information
Book Title: The Hardy Space H1 with Non-doubling Measures and Their Applications
Authors: Dachun Yang, Dongyong Yang, Guoen Hu
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-00825-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2013
Softcover ISBN: 978-3-319-00824-0Published: 13 January 2014
eBook ISBN: 978-3-319-00825-7Published: 04 January 2014
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIII, 653
Topics: Fourier Analysis, Functional Analysis, Operator Theory