Details

Morrey Spaces

Applied and Numerical Harmonic Analysis

von: David Adams
42,79 €
Verlag:	Birkhäuser
Format:	PDF
Veröffentl.:	31.12.2015
ISBN/EAN:	9783319266817
Sprache:	englisch

In den Warenkorb

Als Gutschein

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

Titelbeschreibung

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.

Inhaltsverzeichnis

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.

Autorenportrait

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.

Back cover copy

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.

Sonderbeitrag

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 First book in new Lecture Notes in Applied and Numerical Harmonic Analysis series Includes supplementary material: sn.pub/extras