Morrey Spaces

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42,79 

Applied and Numerical Harmonic Analysis – Lecture Notes in Applied and Numerical Harmonic Analysis

ISBN: 3319266799
ISBN 13: 9783319266794
Autor: Adams, David R
Verlag: Springer Basel AG
Umfang: xvii, 124 S., 1 farbige Illustr., 124 p. 1 illus. in color.
Erscheinungsdatum: 01.01.2016
Auflage: 1/2016
Format: 0.8 x 23.6 x 15.6
Gewicht: 245 g
Produktform: Kartoniert
Einband: Kartoniert

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.

Artikelnummer: 8697734 Kategorie:

Beschreibung

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.      

Autorenporträt

David R. Adams is a Professor in the Department of Mathematics at the University of Kentucky. He received his Ph.D. from the University of Minnesota in 1969. His research areas include analysis and partial differential equations.

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Springer Basel AG in Springer Science + Business Media
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E-Mail: juergen.hartmann@springer.com

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