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The Analysis and Geometry of Hardy's Inequality (Paperback, 1st ed. 2015)
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The Analysis and Geometry of Hardy's Inequality (Paperback, 1st ed. 2015)
Series: Universitext
Expected to ship within 10 - 15 working days
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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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