Lecture Notes in Applied and Numerical Harmonic Analysis

Morrey Spaces

Authors: Adams, David R.

  • ​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
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eBook 32,12 €
price for India (gross)
  • ISBN 978-3-319-26681-7
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  • Immediate eBook download after purchase
Softcover 40,00 €
price for India (gross)
  • ISBN 978-3-319-26679-4
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  • Usually dispatched within 3 to 5 business days.
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.      

About the authors

David R. Adams is a Professor in the Department of Mathematics at the University of Kentucky. He received his Ph.D. from the University of Minnesota in 1969. His research areas include analysis and partial differential equations.

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)


Table of contents (17 chapters)

Buy this book

eBook 32,12 €
price for India (gross)
  • ISBN 978-3-319-26681-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 40,00 €
price for India (gross)
  • ISBN 978-3-319-26679-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Morrey Spaces
Authors
Series Title
Lecture Notes in Applied and Numerical Harmonic Analysis
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-26681-7
DOI
10.1007/978-3-319-26681-7
Softcover ISBN
978-3-319-26679-4
Series ISSN
2512-6482
Edition Number
1
Number of Pages
XVII, 124
Number of Illustrations and Tables
1 illustrations in colour
Topics