TY  - GEN
AU  - Balinsky,Alexander A.
AU  - Evans,W.Desmond
AU  - Lewis,Roger T.
TI  - Analysis and geometry of hardy's inequality
T2  - Universitext
SN  - 9783319228693
U1  - 515.26 23
PY  - 2015///
CY  - Switzerland
PB  - Springer, 
KW  - Inequalities (Mathematics)
N1  - 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
N2  - 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.
ER  -