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100   $a20151020d2015      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 14$aThe Analysis and Geometry of Hardy's Inequality /$fby Alexander A. Balinsky, W. Desmond Evans, Roger T. Lewis
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (XV, 263 p. 3 illus.)
225 1 $aUniversitext,$x0172-5939
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-22869-2 
327   $aHardy, Sobolev, and CLR inequalities -- Boundary curvatures and the distance function -- Hardy's inequality on domains -- Hardy, Sobolev, Maz'ya (HSM) inequalities -- Inequalities and operators involving magnetic elds -- The Rellich inequality.
330   $aThis volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics. Hardy inequalities on domains have a substantial role and this necessitates a detailed investigation of significant geometric properties of a domain and its boundary. Other topics covered in this volume are Hardy- Sobolev-Maz?ya inequalities; inequalities of Hardy-type involving magnetic fields; Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities for Pauli operators; the Rellich inequality.   The Analysis and Geometry of Hardy?s Inequality provides an up-to-date account of research in areas of contemporary interest and would be suitable for a graduate course in mathematics or physics. A good basic knowledge of real and complex analysis is a prerequisite.
410  0$aUniversitext,$x0172-5939
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aDifferential equations, Partial
606   $aMathematical physics
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aDifferential equations, Partial.
615  0$aMathematical physics.
615 14$aAnalysis.
615 24$aPartial Differential Equations.
615 24$aMathematical Physics.
676   $a512.97
700   $aBalinsky$b Alexander A$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755654
702   $aEvans$b W. Desmond$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aLewis$b Roger T$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300258003321
996   $aThe Analysis and Geometry of Hardy's Inequality$92541514
997   $aUNINA