The Analysis and Geometry of Hardy's Inequality

• Main Authors: Balinsky, Alexander A. (Author), Evans, W. Desmond (Author), Lewis, Roger T. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Universitext,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Mathematical physics.; Analysis.; Partial Differential Equations.; Mathematical Physics.

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 mathemati...

Table of 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.