TY  - BOOK
AU  - Adams,David R.
ED  - SpringerLink (Online service)
TI  - Morrey Spaces
T2  - Applied and Numerical Harmonic Analysis,
SN  - 9783319266817
AV  - QA403-403.3 
U1  - 515.785 23
PY  - 2015///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - mathematics
KW  - Harmonic analysis
KW  - Functional analysis
KW  - Operator theory
KW  - Partial Differential Equations
KW  - Mathematics
KW  - Abstract Harmonic Analysis
KW  - Functional Analysis
KW  - Operator Theory
N1  - 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
N2  - 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.
UR  - http://dx.doi.org/10.1007/978-3-319-26681-7
ER  -