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Morrey Spaces

Morrey Spaces
Catalogue Information
Field name Details
Dewey Class 515.785
Title Morrey Spaces ([EBook]) / by David R. Adams.
Author Adams, David R.
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2015.
Publication Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2015.
Physical Details XVII, 124 p. 1 illus. : online resource.
Series Applied and numerical harmonic analysis 2296-5009
ISBN 9783319266817
Summary Note 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. .:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-319-26681-7
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