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Sobolev Spaces in Mathematics I Vladimir Maz'ya

Sobolev Spaces in Mathematics I By Vladimir Maz'ya

Sobolev Spaces in Mathematics I by Vladimir Maz'ya


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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

Sobolev Spaces in Mathematics I: Sobolev Type Inequalities by Vladimir Maz'ya

0 such that wheneverB(x,r)= {y?X :d(x,y)

Table of Contents

My Love Affair with the Sobolev Inequality, D.R. Adams.- Maximal Functions in Sobolev Spaces, D. Aalto, J. Kinnunen.- Hardy Type Inequalities Via Riccati and Sturm-Liouville Equations, S. Bobkov, F. Goetze.- Quantitative Sobolev and Hardy Inequalities and Related Symmetrization Principles, A. Cianchi.- Inequalities of Hardy-Sobolev Type in Carnot-Caratheodory Spaces, D. Danielli et al.- Sobolev Embeddings and Hardy Operators, D.E. Edmunds, W.D. Evans.- Sobolev Mappings between Manifolds and Metric Spaces, P. Hajlasz.- A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions, V. Maz'ya, T. Shaposhnikova.- Optimality of Function Spaces in Sobolev Embeddings, L. Pick.- On the Hardy-Sobolev-Maz'ya Inequality and Its Generalizations, Y. Pinchover, K. Tintarev.- Sobolev Inequalities in Familiar and Unfamiliar Settings, L. Saloff-Coste.- A Universality Property of Sobolev Spaces in Metric Measure Spaces, N. Shanmugalingam.- Cocompact Imbeddings and Structure of Weakly Convergent Sequences, K. Tintarev.

Additional information

NLS9781441927576
9781441927576
1441927573
Sobolev Spaces in Mathematics I: Sobolev Type Inequalities by Vladimir Maz'ya
New
Paperback
Springer-Verlag New York Inc.
2010-11-23
378
N/A
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