Sobolev Spaces in Mathematics I: Sobolev Type Inequalities

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. G?tze.- Quantitative Sobolev and Hardy Inequalities and Related Symmetrization Principles, A. Cianchi.- Inequalities of Hardy-Sobolev Type in Carnot-Carath?odory 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.

Author: Vladimir Maz'ya

Publisher: Springer

Publication Date: Nov 23, 2010

Number of Pages: 378 pages

Binding: Paperback or Softback

ISBN-10: 1441927573

ISBN-13: 9781441927576