Weakly differentiable mappings between manifolds / / Piotr Hajłasz [and three others]
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| Autore: |
Hajłasz Piotr <1966->
|
| Titolo: |
Weakly differentiable mappings between manifolds / / Piotr Hajłasz [and three others]
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| ©2008 | |
| Descrizione fisica: | 1 online resource (88 p.) |
| Disciplina: | 510 s |
| 516.3/6 | |
| Soggetto topico: | Differentiable manifolds |
| Sobolev spaces | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references (pages 71-72). |
| Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminaries Concerning Manifolds""; ""2.1. Manifolds""; ""2.2. The Sobolev space W[sup(1,P)](X,Y)""; ""2.3. Differential forms""; ""2.4. Mollifiers and smoothing operator""; ""2.5. Maximal operators""; ""Chapter 3. Examples""; ""3.1. The longitude projection""; ""3.2. Spherical coordinates""; ""3.3. Winding around the longitude circles""; ""3.4. A mapping of infinite degree""; ""Chapter 4. Some Classes of Functions""; ""4.1. Marcinkiewicz space L[sup(p)][sub(weak)](X)""; ""4.2. The space L[sup(a,p)](X)"" |
| ""4.3. The Orlicz space L[sup(p)](X)""""4.4. Grand GL[sup(p)]-space""; ""4.5. Relations between spaces""; ""4.6. Sobolev classes""; ""Chapter 5. Smooth Approximation""; ""5.1. Web like structures""; ""5.2. Vanishing web oscillations""; ""5.3. Statements of the results""; ""5.4. Proof of Theorem 5.1""; ""5.5. Spinning a web on X""; ""5.6. Proof of Theorems 1.1 and 1.2""; ""5.7. Proof of Theorem 5.2""; ""5.8. Proof of Theorem 1.3""; ""Chapter 6. L[sup(1)]-Estimates of the Jacobian""; ""6.1. Weak wedge products""; ""6.2. Distributional Jacobian""; ""6.3. Proof of Theorem 6.5"" | |
| ""Chapter 7. H[sup(1)]-Estimates""""7.1. The Hausdorff content""; ""7.2. The H[sup(1)]-Theorem""; ""Chapter 8. Degree Theory""; ""8.1. Definition of the degree via weak integrals""; ""8.2. Weak integrals""; ""8.3. Stability of the degree""; ""8.4. The degree in Orlicz and grand Sobolev spaces""; ""Chapter 9. Mappings of Finite Distortion""; ""Acknowledgements""; ""Bibliography"" | |
| Titolo autorizzato: | Weakly differentiable mappings between manifolds |
| ISBN: | 1-4704-0505-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480111303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 899.