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.
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