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The analysis and geometry of hardy's...

Balinsky, Alexander A.

The analysis and geometry of hardy's inequality

Record Type:	Electronic resources : Monograph/item
Title/Author:	The analysis and geometry of hardy's inequalityby Alexander A. Balinsky, W. Desmond Evans, Roger T. Lewis.
Author:	Balinsky, Alexander A.
other author:	Evans, W. Desmond.
Published:	Cham :Springer International Publishing :2015.
Description:	xv, 263 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Inequalities (Mathematics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-22870-9
ISBN:	9783319228709$q(electronic bk.)

The analysis and geometry of hardy's inequality
Balinsky, Alexander A.

The analysis and geometry of hardy's inequality[electronic resource] /by Alexander A. Balinsky, W. Desmond Evans, Roger T. Lewis. - Cham :Springer International Publishing :2015. - xv, 263 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

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.

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.

ISBN: 9783319228709$q(electronic bk.)

Standard No.: 10.1007/978-3-319-22870-9doiSubjects--Topical Terms:

183909
Inequalities (Mathematics)

LC Class. No.: QA295

Dewey Class. No.: 515

The analysis and geometry of hardy's inequality
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520 $a 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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