Morrey Spaces / / by David Adams
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| Autore: |
Adams David
|
| Titolo: |
Morrey Spaces / / by David Adams
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 |
| Edizione: | 1st ed. 2015. |
| Descrizione fisica: | 1 online resource (131 p.) |
| Disciplina: | 515.2433 |
| Soggetto topico: | Harmonic analysis |
| Differential equations, Partial | |
| Functional analysis | |
| Operator theory | |
| Abstract Harmonic Analysis | |
| Partial Differential Equations | |
| Functional Analysis | |
| Operator Theory | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references at the end of each chapters and index. |
| Nota di contenuto: | Introduction -- Function Spaces -- Hausforff Capacity -- Choquet Integrals -- Duality for Morrey Spaces -- Maximal Operators and Morrey Spaces -- Potential Operators on Morrey Spaces -- Singular Integrals on Morrey Spaces -- Morrey-Sobolev Capacities -- Traces of Morrey Potentials -- Interpolation of Morrey Spaces -- Commutators of Morrey Potentials -- Mock Morrey Spaces -- Morrey-Besov Spaces and Besov Capacities -- Morrey Potentials and PDE I -- Morrey Potentials and PDE II -- Morrey Spaces on Complete Riemannian Manifolds. |
| Sommario/riassunto: | 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. . |
| Titolo autorizzato: | Morrey Spaces |
| ISBN: | 3-319-26681-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910300248503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Applied and Numerical Harmonic Analysis, . 2512-6482