Sobolev Spaces In Mathematics I

1. My Love Affair with the Sobolev Inequality
David R. Adams

2. Maximal Functions in Sobolev Spaces
Daniel Aalto, Juha Kinnunen

3. Hardy Type Inequalities via Riccati and Sturm–Liouville Equations
Sergey Bobkov, Friedrich Götze

4. Quantitative Sobolev and Hardy Inequalities, and Related Symmetrization Principles
Andrea Cianchi

5. Inequalities of Hardy–Sobolev Type in Carnot–Carathéodory Spaces
Donatella Danielli, Nicola Garofalo, Nguyen Cong Phuc

6. Sobolev Embeddings and Hardy Operators
David E. Edmunds, W. Desmond Evans

7. Sobolev Mappings between Manifolds and Metric Spaces
Piotr Hajlasz

8. A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions
Vladimir Maz'ya, Tatyana Shaposhnikova

9. Optimality of Function Spaces in Sobolev Embeddings
Luboš Pick

10. On the Hardy–Sobolev–Maz'ya Inequality and Its Generalizations
Yehuda Pinchover, Kyril Tintarev

11. Sobolev Inequalities in Familiar and Unfamiliar Settings
Laurent Saloff-Coste

12. A Universality Property of Sobolev Spaces in Metric Measure Spaces
Nageswari Shanmugalingam

13. Cocompact Imbeddings and Structure of Weakly Convergent Sequences
Kiril Tintarev

Keywords: MATHEMATICS / General MAT000000