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Function spaces. Volume 1 /
This is the first part of the second revised and extended edition of a well established monograph. It is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
2013.
|
| Edición: | 2nd rev. and extended ed. |
| Colección: | De Gruyter series in nonlinear analysis and applications ;
14. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Function spaces. |n Volume 1 / |c Luboš Pick [and others]. |
| 250 | |a 2nd rev. and extended ed. | ||
| 260 | |a Berlin : |b De Gruyter, |c 2013. | ||
| 300 | |a 1 online resource (xv, 479 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter series in nonlinear analysis and applications, |x 0941-813X ; |v 14 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Preface; 1 Preliminaries; 1.1 Vector space; 1.2 Topological spaces; 1.3 Metric, metric space; 1.4 Norm, normed linear space; 1.5 Modular spaces; 1.6 Inner product, inner product space; 1.7 Convergence, Cauchy sequences; 1.8 Density, separability; 1.9 Completeness; 1.10 Subspaces; 1.11 Products of spaces; 1.12 Schauder bases; 1.13 Compactness; 1.14 Operators (mappings); 1.15 Isomorphism, embeddings; 1.16 Continuous linear functionals; 1.17 Dual space, weak convergence; 1.18 The principle of uniform boundedness; 1.19 Reflexivity; 1.20 Measure spaces: general extension theory. | |
| 505 | 8 | |a 1.21 The Lebesgue measure and integral1.22 Modes of convergence; 1.23 Systems of seminorms, Hahn-Saks theorem; 2 Spaces of smooth functions; 2.1 Multiindices and derivatives; 2.2 Classes of continuous and smooth functions; 2.3 Completeness; 2.4 Separability, bases; 2.5 Compactness; 2.6 Continuous linear functionals; 2.7 Extension of functions; 3 Lebesgue spaces; 3.1 Lp-classes; 3.2 Lebesgue spaces; 3.3 Mean continuity; 3.4 Mollifiers; 3.5 Density of smooth functions; 3.6 Separability; 3.7 Completeness; 3.8 The dual space; 3.9 Reflexivity; 3.10 The space L8; 3.11 Hardy inequalities. | |
| 505 | 8 | |a 6.4 Reflexivity of Banach function spaces6.5 Separability in Banach function spaces; 7 Rearrangement-invariant spaces; 7.1 Nonincreasing rearrangements; 7.2 Hardy-Littlewood inequality; 7.3 Resonant measure spaces; 7.4 Maximal nonincreasing rearrangement; 7.5 Hardy lemma; 7.6 Rearrangement-invariant spaces; 7.7 Hardy-Littlewood-Pólya principle; 7.8 Luxemburg representation theorem; 7.9 Fundamental function; 7.10 Endpoint spaces; 7.11 Almost-compact embeddings; 7.12 Gould space; 8 Lorentz spaces; 8.1 Definition and basic properties; 8.2 Embeddings between Lorentz spaces. | |
| 520 | |a This is the first part of the second revised and extended edition of a well established monograph. It is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces to study other topics such as partial differential equations. Volume 1 deals with Banach function spaces, Volume 2 with Sobolev-type spaces. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Ideal spaces. | |
| 650 | 0 | |a Sobolev spaces. | |
| 650 | 0 | |a Function spaces. | |
| 650 | 4 | |a Function spaces |v Congresses. | |
| 650 | 4 | |a Functional analysis. | |
| 650 | 4 | |a Mathematics. | |
| 650 | 6 | |a Espaces parfaits. | |
| 650 | 6 | |a Espaces de Sobolev. | |
| 650 | 6 | |a Espaces fonctionnels. | |
| 650 | 7 | |a MATHEMATICS |x Transformations. |2 bisacsh | |
| 650 | 7 | |a Function spaces |2 fast | |
| 650 | 7 | |a Ideal spaces |2 fast | |
| 650 | 7 | |a Sobolev spaces |2 fast | |
| 700 | 1 | |a Pick, Luboš. | |
| 776 | 0 | 8 | |i Print version: |a Kufner, Alois. |t Function Spaces, Volume 1. |d Berlin : De Gruyter, ©2012 |z 9783110250411 |
| 830 | 0 | |a De Gruyter series in nonlinear analysis and applications ; |v 14. |x 0941-813X | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=543942 |z Texto completo |
| 880 | 8 | |6 505-00/(S |a 3.12 Sequence spaces 3.13 Modes of convergence; 3.14 Compact subsets; 3.15 Weak convergence; 3.16 Isomorphism of Lp(O) and Lp(0, μ(O)); 3.17 Schauder bases; 3.18 Weak Lebesgue spaces; 3.19 Remarks; 4 Orlicz spaces; 4.1 Introduction; 4.2 Young function, Jensen inequality; 4.3 Complementary functions; 4.4 The Δ2-condition; 4.5 Comparison of Orlicz classes; 4.6 Orlicz spaces; 4.7 Hölder inequality in Orlicz spaces; 4.8 The Luxemburg norm; 4.9 Completeness of Orlicz spaces; 4.10 Convergence in Orlicz spaces; 4.11 Separability; 4.12 The space EΦ(Ω); 4.13 Continuous linear functionals. | |
| 880 | 8 | |6 505-00/(S |a 4.14 Compact subsets of Orlicz spaces 4.15 Further properties of Orlicz spaces; 4.16 Isomorphism properties, Schauder bases; 4.17 Comparison of Orlicz spaces; 5 Morrey and Campanato spaces; 5.1 Introduction; 5.2 Marcinkiewicz spaces; 5.3 Morrey and Campanato spaces; 5.4 Completeness; 5.5 Relations to Lebesgue spaces; 5.6 Some lemmas; 5.7 Embeddings; 5.8 The John-Nirenberg space; 5.9 Another definition of the space JN(Q); 5.10 Spaces Np; λ(Q); 5.11 Miscellaneous remarks; 6 Banach function spaces; 6.1 Banach function spaces; 6.2 Associate space; 6.3 Absolute continuity of the norm. | |
| 938 | |a ebrary |b EBRY |n ebr10661461 | ||
| 938 | |a EBSCOhost |b EBSC |n 543942 | ||
| 994 | |a 92 |b IZTAP | ||