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010   $a3-319-26681-0
024 7 $a10.1007/978-3-319-26681-7
035   $a(CKB)3710000000541905
035   $a(EBL)4307146
035   $a(SSID)ssj0001597354
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035   $a(PQKBTitleCode)TC0001597354
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035   $a(DE-He213)978-3-319-26681-7
035   $a(MiAaPQ)EBC4307146
035   $a(PPN)190885696
035   $a(EXLCZ)993710000000541905
100   $a20151231d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aMorrey Spaces /$fby David Adams
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015.
215   $a1 online resource (131 p.)
225 1 $aLecture Notes in Applied and Numerical Harmonic Analysis,$x2512-6482
300   $aDescription based upon print version of record.
311   $a3-319-26679-9 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $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.
330   $aIn this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis. There are three main claims concerning these spaces that are covered: determining the integrability classes of the trace of Riesz potentials of an arbitrary Morrey function; determining the dimensions of singular sets of weak solutions of PDE (e.g. The Meyers-Elcart System); and determining whether there are any ?full? interpolation results for linear operators between Morrey spaces. This book will serve as a useful reference to graduate students and researchers interested in Potential Theory, Harmonic Analysis, PDE, and/or Morrey Space Theory. .
410  0$aLecture Notes in Applied and Numerical Harmonic Analysis,$x2512-6482
606   $aHarmonic analysis
606   $aDifferential equations, Partial
606   $aFunctional analysis
606   $aOperator theory
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
615  0$aHarmonic analysis.
615  0$aDifferential equations, Partial.
615  0$aFunctional analysis.
615  0$aOperator theory.
615 14$aAbstract Harmonic Analysis.
615 24$aPartial Differential Equations.
615 24$aFunctional Analysis.
615 24$aOperator Theory.
676   $a515.2433
700   $aAdams$b David$4aut$4http://id.loc.gov/vocabulary/relators/aut$016290
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300248503321
996   $aMorrey Spaces$92498775
997   $aUNINA