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The Analysis and Geometry of Hardy's Inequality / by Alexander A. Balinsky, W. Desmond Evans, Roger T. Lewis.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Balinsky, Alexander A., Author.
- Evans, W. D. (William Desmond), Author.
- Lewis, Roger T., Author.
- Series:
- Universitext, 0172-5939
- Language:
- English
- Subjects (All):
- Mathematical analysis.
- Analysis (Mathematics).
- Differential equations, Partial.
- Mathematical physics.
- Analysis.
- Partial Differential Equations.
- Mathematical Physics.
- Local Subjects:
- Analysis.
- Partial Differential Equations.
- Mathematical Physics.
- Physical Description:
- 1 online resource (XV, 263 p. 3 illus.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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.
- 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.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-319-22870-6
- OCLC:
- 932002632
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