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MARC 21

Morrey Spaces
Tag	Description
020	$a9783319266817$9978-3-319-26681-7
082	$a515.785$223
099	$aOnline resource: Springer
100	$aAdams, David R.
245	$aMorrey Spaces$h[EBook]$cby David R. Adams.
250	$a1st ed. 2015.
260	$aCham :$bSpringer International Publishing :$bImprint: Birkhäuser,$c2015.
300	$aXVII, 124 p. 1 illus.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aApplied and Numerical Harmonic Analysis,$x2296-5009
505	$aIntroduction -- 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.
520	$aIn 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. .
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
710	$aSpringerLink (Online service)
830	$aApplied and Numerical Harmonic Analysis,$x2296-5009
856	$uhttp://dx.doi.org/10.1007/978-3-319-26681-7