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＜電子ブック＞
Morrey Spaces / by David Adams
(Lecture Notes in Applied and Numerical Harmonic Analysis. ISSN:25127209)

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2015
本文言語	英語
大きさ	XVII, 124 p. 1 illus. in color : online resource
著者標目	*Adams, David author SpringerLink (Online service)
件　名	LCSH:Harmonic analysis LCSH:Differential equations LCSH:Functional analysis LCSH:Operator theory FREE:Abstract Harmonic Analysis FREE:Differential Equations FREE:Functional Analysis FREE:Operator Theory
一般注記	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 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. HTTP:URL=https://doi.org/10.1007/978-3-319-26681-7

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