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Analysis and geometry of hardy's inequality / Alexander A. Balinsky, W. Desmond Evans and Roger T. Lewis.

By: Contributor(s): Series: UniversitextPublication details: Switzerland : Springer, 2015.Description: xv, 263 p. 24 cmISBN:
  • 9783319228693
Subject(s): DDC classification:
  • 515.26 23 B186
Contents:
1. Hardy, Sobolev, and CLR inequalities -- 2. Boundary curvatures and the distance function -- 3. Hardy's inequality on domains -- 4. Hardy, Sobolev, Maz'ya (HSM) inequalities -- 5. Inequalities and operators involving magnetic fields -- 6. The Rellich inequality-- References-- Author index-- Subject index-- Notation.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.26 B186 (Browse shelf(Opens below)) Available 136462
Total holds: 0

Includes bibliographical references and indexes.

1. Hardy, Sobolev, and CLR inequalities --
2. Boundary curvatures and the distance function --
3. Hardy's inequality on domains --
4. Hardy, Sobolev, Maz'ya (HSM) inequalities --
5. Inequalities and operators involving magnetic fields --
6. The Rellich inequality--
References--
Author index--
Subject index--
Notation.

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.

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