Sobolev Spaces in Mathematics I Sobolev Type Inequalities
This volume is dedicated to the centenary of the outstanding mathematician of the XXth century Sergey Sobolev and, in a sense, to his celebrated work On a theorem of functional analysis published in 1938, exactly 70 years ago, where the original Sobolev inequality was proved. This double event is a...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
2009, 2009
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| Edition: | 1st ed. 2009 |
| Series: | International Mathematical Series
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- My Love Affair with the Sobolev Inequality
- Maximal Functions in Sobolev Spaces
- Hardy Type Inequalities via Riccati and Sturm–Liouville Equations
- Quantitative Sobolev and Hardy Inequalities, and Related Symmetrization Principles
- Inequalities of Hardy–Sobolev Type in Carnot–Carathéodory Spaces
- Sobolev Embeddings and Hardy Operators
- Sobolev Mappings between Manifolds and Metric Spaces
- A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions
- Optimality of Function Spaces in Sobolev Embeddings
- On the Hardy–Sobolev–Maz'ya Inequality and Its Generalizations
- Sobolev Inequalities in Familiar and Unfamiliar Settings
- A Universality Property of Sobolev Spaces in Metric Measure Spaces
- Cocompact Imbeddings and Structure of Weakly Convergent Sequences