03329nam 2200589 450 991078885140332120170822144404.01-4704-0505-9(CKB)3360000000465083(EBL)3114271(SSID)ssj0000889305(PQKBManifestationID)11476397(PQKBTitleCode)TC0000889305(PQKBWorkID)10876525(PQKB)10797734(MiAaPQ)EBC3114271(RPAM)15072340(PPN)195417887(EXLCZ)99336000000046508320071106h20082008 uy| 0engur|n|---|||||txtccrWeakly differentiable mappings between manifolds /Piotr Hajłasz [and three others]Providence, Rhode Island :American Mathematical Society,[2008]©20081 online resource (88 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 899Description based upon print version of record.0-8218-4079-7 Includes bibliographical references (pages 71-72).""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""Memoirs of the American Mathematical Society ;no. 899.Differentiable manifoldsSobolev spacesDifferentiable manifolds.Sobolev spaces.510 s516.3/6Hajłasz Piotr1966-54743Hajłasz Piotr1966-54743MiAaPQMiAaPQMiAaPQBOOK9910788851403321Weakly differentiable mappings between manifolds3836128UNINA