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" Sobolev spaces on metric measure spaces : "
Juha Heinonen, Pekka Koskela, Nageswari Shanmugalingam, Jeremy T. Tyson
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BL
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| Record Number
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640160
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dltt
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| Main Entry
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Heinonen, Juha
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| Title & Author
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Sobolev spaces on metric measure spaces : : an approach based on upper gradients /\ Juha Heinonen, Pekka Koskela, Nageswari Shanmugalingam, Jeremy T. Tyson
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| Series Statement
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New mathematical monographs ;; 27
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| Page. NO
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xii, 434 pages ;; 24 cm
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| ISBN
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9781107092341
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: 1107092345
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Includes bibliographical references and indexes
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| Contents
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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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| Subject
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Metric spaces
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Sobolev spaces
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| LC Classification
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QA611.28.H45 2015
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| Added Entry
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Koskela, Pekka
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Shanmugalingam, Nageswari
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Tyson, Jeremy T.,1972-
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