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Feldname	Details
Dewey Class	515
Titel	The Analysis and Geometry of Hardy's Inequality ([EBook]) / by Alexander A. Balinsky, W. Desmond Evans, Roger T. Lewis.
Verfasser	Balinsky, Alexander A.
Added Personal Name	Evans, W. Desmond
Added Personal Name	Lewis, Roger T.
Other name(s)	SpringerLink (Online service)
Veröffentl	Cham : Springer International Publishing , 2015.
Physical Details	XV, 263 pages: 3 illus. : online resource.
Reihe	Universitext 0172-5939
ISBN	9783319228709
Summary Note	This 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.:
Contents note	Hardy, 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.
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/10.1007/978-3-319-22870-9
LINKS ZU 'VERWANDTEN WERKEN	Schlagwörter: . Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematical Physics . Mathematics . Partial differential equations . Authors: author . Balinsky, Alexander A. . Evans, W. Desmond . Lewis, Roger T. . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515 . 515 (DDC 23) .

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The Analysis and Geometry of Hardy's Inequality

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