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Produktbild: The Analysis and Geometry of Hardy's Inequality

The Analysis and Geometry of Hardy's Inequality

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Beschreibung

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....

Beschreibung

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.

Rezension

“This book is the epitome of classical analysis and
has been a staple of those who have wished to learn that art since Cambridge
University Press published it in 1934. … The terseness of the development
throughout make this book more suitable for graduate students. All in all, the
book under review is a lovely compendium of the utility and power of Hardy’s

Produktdetails

Einband

Taschenbuch
Erscheinungsdatum

29.10.2015
Abbildungen

XV, 263 p. 3 illus.
Verlag Springer

Produktdetails

Einband

Taschenbuch
Erscheinungsdatum

29.10.2015
Abbildungen

XV, 263 p. 3 illus.
Verlag Springer
Seitenzahl

263
Maße (L/B/H)

23,5/15,5/1,6 cm
Gewicht

429 g
Auflage

1st ed. 2015
Sprache

Englisch
ISBN

978-3-319-22869-3
Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: The Analysis and Geometry of Hardy's Inequality
  • 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.