Morrey spaces / David R Adams.
Series: Lecture notes in applied and numerical harmonic analysisPublication details: Cham : Springer, 2015.Description: xv, 121 pages : illustrations ; 24 cmISBN:- 9783319266794
- 515.785 23 Ad211
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.785 Ad211 (Browse shelf(Opens below)) | Available | 137489 |
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| 515.783 S599 Measures and probabilities | 515.783 Sch399 Radon measures on arbitrary topological spaces and cylindrical measures | 515.784 En56 Valuation theory | 515.785 Ad211 Morrey spaces / | 515.785 B124 Elementary of abstract harmonic analysis | 515.785 B171 Excursions in harmonic analysis : | 515.785 B848 Harmonic analysis on compact solvmanifolds |
Includes bibliographical references and indexes.
1. Introduction --
2. Function Spaces --
3. Hausforff Capacity --
4. Choquet Integrals --
5. Duality for Morrey 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 Capacities --
15. Morrey Potentials and PDE I --
16. Morrey Potentials and PDE II --
17. Morrey Spaces on Complete Riemannian Manifol.
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.
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