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Morrey Spaces by David R. Adams
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**About this book :- **
**Morrey Spaces ** written by
** David Adams **

The book 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

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.

The book will serve as a useful reference to graduate students and researchers interested in Potential Theory, Harmonic Analysis, PDE, and/or Morrey Space Theory.

**Book Detail :- **
** Title: ** Morrey Spaces
** Edition: **
** Author(s): ** David R. Adams
** Publisher: ** Birkhäuser
** Series: ** Applied and Numerical Harmonic Analysis
** Year: ** 2016
** Pages: ** 273
** Type: ** PDF
** Language: ** English
** ISBN: ** 3319266799,9783319266794, 9783319266817
** Country: ** US

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**Book Contents :- **
**Morrey Spaces ** written by
** David Adams **
cover the following topics.

1. Introduction

2. Function Spaces

3. Hausdorff Capacity

4. Choquet Integrals

5. Duality forMorrey Spaces

6. Maximal Operators and Morrey Spaces

7. Potential Operators on Morrey Spaces

8. Singular Integrals on Morrey Spaces

9. Morrey-Sobolev capacities

10. Traces of Morrey Potentials

11. Interpolation of Morrey Spaces

12. Commutators of Morrey Potentials

13. Mock Morrey Spaces

14. Morrey-Besov Spaces and Besov Capacity

15. Morrey Potentials and PDE I

16. Morrey Potentials and PDE II

17. Morrey Spaces On Complete Riemannian Manifolds

Bibliography

Index of Symbols

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