Sobolev Spaces In Mathematics I Sobolev Type Inequalities /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Maz’ya, Vladimir (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: International Mathematical Series, 8
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Functions of real variables.; Numerical analysis.; Mathematical optimization.; Analysis.; Real Functions.; Partial Differential Equations.; Functional Analysis.; Optimization.; Numerical Analysis.

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...

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.