The Analysis and Geometry of Hardy's Inequality

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book The Analysis and Geometry of Hardy's Inequality by W. Desmond Evans, Alexander A. Balinsky, Roger T. Lewis, Springer International Publishing
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Author: W. Desmond Evans, Alexander A. Balinsky, Roger T. Lewis ISBN: 9783319228709
Publisher: Springer International Publishing Publication: October 20, 2015
Imprint: Springer Language: English
Author: W. Desmond Evans, Alexander A. Balinsky, Roger T. Lewis
ISBN: 9783319228709
Publisher: Springer International Publishing
Publication: October 20, 2015
Imprint: Springer
Language: English

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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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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