Ebook: Morrey Spaces

​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

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.

Audience
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. 

Topics
Abstract Harmonic Analysis
Partial Differential Equations
Functional Analysis
Operator Theory