Maz'ya Sobolev Spaces in Mathematics I

Sobolev Type Inequalities
1. Auflage 2008
ISBN: 978-0-387-85648-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 8, 378 Seiten, eBook

Reihe: International Mathematical Series

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.

Zielgruppe

Research

Autoren/Hrsg.

Maz'ya, Vladimir

Inhaltsverzeichnis

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.