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.