Author | Wells, J. H. author |
---|---|
Title | Embeddings and Extensions in Analysis [electronic resource] / by J. H. Wells, L. R. Williams |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1975 |
Connect to | http://dx.doi.org/10.1007/978-3-642-66037-5 |
Descript | VIII, 110 p. online resource |
I. Isometric Embedding -- ยง1. Introduction -- ยง2. Isometric Embedding in Hilbert Space -- ยง3. Functions of Negative Type -- ยง4. Radial Positive Definite Functions -- ยง5. A Characterization of Subspaces of Lp, 1 ? p ? 2 -- II. The Classes N(X) and RPD(X): Integral Representations -- ยง 6. Radial Positive Definite Functions on ?n -- ยง7. Positive Definite Functions on Infinite-Dimensional Linear Spaces -- ยง 8. Functions of Negative Type on Lp Spaces -- ยง9. Functions of Negative Type on ?N -- III. The Extension Problem for Contractions and Isometries -- ยง10. Formulation -- ยง11. The Kirszbraun Intersection Property -- ยง12. Extension of Contractions for Pairs of Banach Spaces -- ยง13. Special Extension Problems -- IV. Interpolation and Lp Inequalities -- ยง14. A Multi-Component Riesz-Thorin Theorem -- ยง15. Lp Inequalities -- ยง16. A Packing Problem in Lp -- V. The Extension Problem for Lipschitz-Hรถlder Maps between Lp Spaces -- ยง17. K-Functions and an Extension Procedure for Bilinear Forms -- ยง18. Examples of K-Functions -- ยง19. The Contraction Extension Problem for the Pairs (L?q,Lp) -- Author Index -- List of Symbols