Sobolev spaces on metric measure spaces : an approach based on upper gradients / Juha Heinonen, Pekka Koskela, Nageswari Shanmugalingam, Jeremy T. Tyson.

Bibliographic Details
Uniform Title:New mathematical monographs ; 27.
Main Authors: Heinonen, Juha (Author)
Koskela, Pekka (Author)
Shanmugalingam, Nageswari (Author)
Tyson, Jeremy T., 1972- (Author)
Language:English
Published: Cambridge, United Kingdom : Cambridge University Press, 2015.
Series:New mathematical monographs ; 27.
Subjects:
Physical Description:xii, 434 pages ; 24 cm.
Format: Book

MARC

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245 1 0 |a Sobolev spaces on metric measure spaces :  |b an approach based on upper gradients /  |c Juha Heinonen, Pekka Koskela, Nageswari Shanmugalingam, Jeremy T. Tyson. 
264 1 |a Cambridge, United Kingdom :  |b Cambridge University Press,  |c 2015. 
300 |a xii, 434 pages ;  |c 24 cm. 
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490 1 |a New mathematical monographs ;  |v 27 
504 |a Includes bibliographical references and indexes. 
505 0 |a Introduction -- Review of basic functional analysis -- Lebesgue theory of Banach space-valued functions -- Lipschitz functions and embeddings -- Path integrals and modulus -- Upper gradients -- Sobolev spaces -- Poincaré inequalities -- Consequences of Poincaré inequalities -- Other definitions of Sobolev-type spaces -- Gromov-Hausdorff convergence and Poincaré inequalities -- Self-improvement of Poincaré inequalities -- An introduction to Cheeger's differentiation theory -- Examples, applications, and further research directions. 
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650 0 |a Sobolev spaces.  |0 http://id.loc.gov/authorities/subjects/sh85123836 
650 7 |a Metric spaces.  |2 fast  |0 (OCoLC)fst01018813. 
650 7 |a Sobolev spaces.  |2 fast  |0 (OCoLC)fst01122115. 
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650 7 |a Metrischer Raum.  |0 (DE-588)4169745-5  |2 gnd 
700 1 |a Koskela, Pekka,  |e author.  |0 http://id.loc.gov/authorities/names/n00000963 
700 1 |a Shanmugalingam, Nageswari,  |e author.  |0 http://id.loc.gov/authorities/names/n2014041412 
700 1 |a Tyson, Jeremy T.,  |d 1972-  |e author.  |0 http://id.loc.gov/authorities/names/n2010024742 
830 0 |a New mathematical monographs ;  |v 27.  |0 http://id.loc.gov/authorities/names/n2003010567 
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