EAN: 9783319228693

UNIVERSITEXT THE ANALYSIS AND GEOMETRY OF HAR...

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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