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Interpolation theory, function spaces, differential operators / Hans Triebel

Von: Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: North-Holland mathematical library ; 18Verlag: Amsterdam ; New York : North-Holland Pub. Co, c1978Beschreibung: Online Ressource (528 p.)ISBN:
  • 9780080954257
  • 0080954251
  • 9780720407105
  • 0720407109
Schlagwörter: Andere physische Formen: 0720407109 | Erscheint auch als: Interpolation theory, function spaces, differential operators. Druck-Ausgabe Amsterdam [u.a.] : North-Holland, 1978. 528 SDDC-Klassifikation:
  • 515.73
RVK: RVK: SK 600 | SK 470 | SK 910 | SK 620LOC-Klassifikation:
  • QA322.2
Online-Ressourcen:
Inhalte:
Front Cover; Interpolation Theory, Function Spaces, Differential Operators; Copyright Page; Contents; Chapter 1. Interpolation Theory in Banach Spaces; 1.1. Introduction; 1.2. General Interpolation Methods; 1.3. The K-Method; 1.4. The L-Method; 1.5. The Mean-Methods; 1.6. The J-Method; 1.7. Discrete Methods; 1.8. The Trace Method; 1.9. Complex Methods; 1.10. Reiteration Theorem; 1.11. Duality Theory; 1.12. Interpolation Theory for Quasilinearizable Interpolation Couples; 1.13. Semi-Groups of Operators and Interpolation Spaces; 1.14. Positive Operators and Interpolation Spaces
1.15. Fractional Powers of Positive Operators and Interpolation Spaces1.16. Interpolation Properties of Entropy Ideals and Width Ideals; 1.17. Interpolation of Subspaces and Factor Spaces; 1.18. Examples and Applications; 1.19. Complements; Chapter 2. Lebesgue-Besov Spaces without Weights in Rn and R+n; 2.1. Introduction; 2.2. Integral Operators and Fourier Multipliers; 2.3. The Spaces Bisp,q(Rn), Fsp,q(Rn), Hsp(Rn), and Wsp(Rn); 2.4. Interpolation Theory for the Spaces Bsp,q(Rn) and Fsp,q(Rn); 2.5. Equivalent Norms in the Spaces Bsp,q(Rn)
2.6. Duality Theory for the Spaces Bsp,q(Rn) and Fsp,q(Rn)2.7. The Hölder Spaces Ct(Rn); 2.8. Embedding Theorems for Different Metrics; 2.9. Direct and Inverse Embedding Theorems (Embedding on the Boundary); 2.10. The Spares Hsp(R+n) and Bsp,q(R+n); 2.11. Structure Theory; 2.12. Diversity of the Spaces Bsp,q(Rn) and Htr(Rn); 2.13. Anisotropic Spaces; Chapter 3. Lebesgue-Besov Spaces with Weigths in Domains; 3.1. Introduction; 3.2. Definitions and Fundamental Properties; 3.3. Interpolation Theory for the Spaces Wmp(O; s); 3.4. Interpolation Theory for the Spaces Bsp,q(O; Qu; Qv) and Hsp(O
QuQv); 3.5. Embedding Theorems for Different Metrics; 3.6. Direct and Inverse Embedding Theorems (Embedding on the Boundary); 3.7. Structure Theory; 3.8. Embedding Operators and Width Numbers; 3.9. The Spaces wsp,u(Rn); 3.10. Complements; Chapter 4. Lebesgue-Besov Spaces without Weigths in Domains; 4.1. Introduction; 4.2. Definitions, Extension Theorems; 4.3. Interpolation Theory; 4.4. Equivalent Norms in Sobolev-Besov Spaces; 4.5. The Holder Spaces Ct'(O); 4.6. Embedding Theorems for Different Metrics, Inclusion Properties
4.7. Direct and Inverse Embedding Theorems (Embedding on the Boundary)4.8. Duality Theory; 4.9. Structure Theory; 4.10. Qualitative Roperties of Embedding Operators; 4.11. Complements; Chapter 5. Regular Elliptic Differential Operators; 5.1. Introduction; 5.2. Regular Elliptic Differential Operators; 5.3. A-Priori-Estimates; 5.4. Lp-Theory in Sobolev Spaces; 5.5. Boundary Value Problems [Part I]; 5.6. Distributions of Eigenvalues, Associated Eigenvectors, and Green Functions; 5.7. Boundary Value Problems [Part II]; Chapter 6. Strongly Degenerate Elliptic Differential Operators
6.1. Introduction
Zusammenfassung: Interpolation theory in Banach spaces -- Lebesgue-Besov spaces with weights in R and R -- Lebesgue-Besov spaces with weights in domains -- Regular elliptic differential operators -- Strongly degenerate elliptic differential operators -- Legendre and tricomi differential operators -- Nuclear function spacesPPN: PPN: 1657822486Package identifier: Produktsigel: BSZ-33-ECE | ZDB-33-MTC | BSZ-33-EBS-C1UB | BSZ-33-EBS-HSAA | GBV-33-EBS-MRI | GBV-33-EBS-ZHB | GBV-33-Freedom-BL | ZDB-1-ELC | ZDB-33-EBS | ZDB-33-ESD
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