Overview
- Contains the latest research on the theory of Morrey Spaces in Harmonic Analysis
- Comprised of lecture notes originally for graduate courses at the University of Kentucky
- First book in new Lecture Notes in Applied and Numerical Harmonic Analysis series
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
Part of the book sub series: Lecture Notes in Applied and Numerical Harmonic Analysis (LN-ANHA)
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Table of contents (17 chapters)
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Front Matter
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Back Matter
Keywords
About this book
In this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis. There are three main claims concerning these spaces that are covered: determining the integrability classes of the trace of Riesz potentials of an arbitrary Morrey function; determining the dimensions of singular sets of weak solutions of PDE (e.g. The Meyers-Elcart System); and determining whether there are any “full” interpolation results for linear operators between Morrey spaces.
This book will serve as a useful reference to graduate students and researchers interested in Potential Theory, Harmonic Analysis, PDE, and/or Morrey Space Theory.
Reviews
“This book gives a comparatively systematic discussion on the theory of Morrey spaces. … This book puts a lot of emphasis on the predual theory of the Morrey spaces as well as their applications. … the book has an impressive level of generality on the modern theory of Morrey spaces … . In addition, the related theories for Morrey spaces promise developments of this field in the near future.” (Liguang Liu, Mathematical Reviews, May, 2017)
“This book contains the latest results obtained by the author. It is a useful reference to mathematicians working in potential theory, harmonic analysis and partial differential equations, in particular, in Morrey spaces theory.” (Sibei Yang, zbMATH 1339.42001, 2016)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Morrey Spaces
Authors: David R. Adams
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-3-319-26681-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-26679-4Published: 01 January 2016
eBook ISBN: 978-3-319-26681-7Published: 31 December 2015
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XVII, 124
Number of Illustrations: 1 illustrations in colour
Topics: Abstract Harmonic Analysis, Partial Differential Equations, Functional Analysis, Operator Theory