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The Analysis and Geometry of Hardy's Inequality

The Analysis and Geometry of Hardy's Inequality
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Field name Details
Dewey Class 515
Title The Analysis and Geometry of Hardy's Inequality ([EBook]) / by Alexander A. Balinsky, W. Desmond Evans, Roger T. Lewis.
Author Balinsky, Alexander A.
Added Personal Name Evans, W. Desmond author.
Lewis, Roger T. author.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details XV, 263 p. 3 illus. : online resource.
Series 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
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