Sobolev Spaces in Mathematics I: Sobolev Type Inequalities by Vladimir Maz'ya
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Sobolev Spaces in Mathematics I
Sobolev Spaces in Mathematics I
Summary
This volume mark's the centenary of the birth of the outstanding mathematician of the 20th century, Sergey Sobolev. It includes new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics.
Sobolev Spaces in Mathematics I Summary
Table of Contents
My Love Affair with the Sobolev Inequality.- Maximal Functions in Sobolev Spaces.- Hardy Type Inequalities via Riccati and SturmLiouville Equations.- Quantitative Sobolev and Hardy Inequalities, and Related Symmetrization Principles.- Inequalities of HardySobolev Type in CarnotCaratheodory 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 HardySobolevMaz'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.
Additional information
NPB9780387856476
9780387856476
0387856471
Sobolev Spaces in Mathematics I: Sobolev Type Inequalities by Vladimir Maz'ya
New
Hardback
Springer-Verlag New York Inc.
2008-11-21
378
N/A
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