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Weakly differentiable mappings between manifolds / / Piotr Hajłasz [and three others]



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Autore: Hajłasz Piotr <1966-> Visualizza persona
Titolo: Weakly differentiable mappings between manifolds / / Piotr Hajłasz [and three others] Visualizza cluster
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  Visualizza cluster
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
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Serie: Memoirs of the American Mathematical Society ; ; no. 899.