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

• Record Nr.: UNINA9910788851403321
• Autore: Hajłasz Piotr <1966->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2008]; ©2008
• ISBN: 1-4704-0505-9
• Descrizione fisica: 1 online resource (88 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 899
• Altri autori (Persone): HajłaszPiotr <1966->
• Disciplina: 510 s; 516.3/6
• Soggetti: Differentiable manifolds; Sobolev spaces
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• 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""