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100   $a20071106h20082008  uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aWeakly differentiable mappings between manifolds /$fPiotr Haj?asz [and three others]
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008]
210  4$dİ2008
215   $a1 online resource (88 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 899
300   $aDescription based upon print version of record.
311   $a0-8218-4079-7 
320   $aIncludes bibliographical references (pages 71-72).
327   $a""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)""
327   $a""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""
327   $a""Chapter 7. H[sup(1)]-Estimates""""7.1. The Hausdorff content""; ""7.2. The H[sup(1)]-Theorem""; ""Chapter 8. Degree Theory""; ""8.1. Definition of the degree via weak integrals""; ""8.2. Weak integrals""; ""8.3. Stability of the degree""; ""8.4. The degree in Orlicz and grand Sobolev spaces""; ""Chapter 9. Mappings of Finite Distortion""; ""Acknowledgements""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 899.
606   $aDifferentiable manifolds
606   $aSobolev spaces
608   $aElectronic books.
615  0$aDifferentiable manifolds.
615  0$aSobolev spaces.
676   $a510 s
676   $a516.3/6
700   $aHaj?asz$b Piotr$f1966-$054743
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480111303321
996   $aWeakly differentiable mappings between manifolds$92188918
997   $aUNINA