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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