Morrey Spaces / Applied and Numerical Harmonic Analysis (PDF)
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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.
- Autor: David Adams
- 2015, 1st ed. 2015, 124 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319266810
- ISBN-13: 9783319266817
- Erscheinungsdatum: 31.12.2015
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- Dateiformat: PDF
- Größe: 1.73 MB
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“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)
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