Format:
Online Ressource (528 p.)
ISBN:
9780080954257
,
0080954251
,
9780720407105
,
0720407109
Series Statement:
North-Holland mathematical library 18
Content:
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 spaces
Note:
Includes bibliographical references (p. [483]-518) and indexes. - Description based on print version record
,
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
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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)
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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
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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
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6.1. Introduction
Additional Edition:
ISBN 0720407109
Additional Edition:
Erscheint auch als Druck-Ausgabe Triebel, Hans, 1936 - Interpolation theory, function spaces, differential operators Amsterdam [u.a.] : North-Holland, 1978 ISBN 0720407109
Language:
English
Subjects:
Mathematics
Keywords:
Banach-Raum
;
Interpolation
;
Differentialoperator
;
Funktionenraum
;
Differentialoperator
;
Funktionenraum
;
Interpolation
;
Nuklearer Raum
;
Banach-Raum
;
Interpolation
;
Elliptischer Differentialoperator
;
Electronic books
;
Electronic books
URL:
Volltext
(lizenzpflichtig)
Author information:
Triebel, Hans 1936-
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