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The Analysis and Geometry of Hardy's Inequality / by Alexander A. Balinsky, W. Desmond Evans, Roger T. Lewis.

By: Balinsky, Alexander A [author.].
Contributor(s): Evans, W. Desmond [author.] | Lewis, Roger T [author.] | SpringerLink (Online service).
Material type: TextTextSeries: Publisher: New York : Springer, c2010Description: xv, 263 p. ; 23 cm.ISBN: 9783319228709; 9783319228693 (print).Subject(s): Mathematics | Mathematical analysis | Analysis (Mathematics) | Partial differential equations | Mathematical physics | Mathematics | Analysis | Partial Differential Equations | Mathematical Physics | Inequalities (Mathematics)Additional physical formats: Printed edition:: No titleDDC classification: 515
Contents:
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.
In: Springer eBooksSummary: 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.
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Books Books Prof. G. K. Chadha Library

South Asian University

General Stacks 		515 B1864a (Browse shelf) Available BK00012617
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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.

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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.

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