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Sobolev Spaces

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Cover of 'Sobolev Spaces'

Table of Contents

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    Book Overview
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    Chapter 1 Basic Properties of Sobolev Spaces
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    Chapter 2 Inequalities for Functions Vanishing at the Boundary
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    Chapter 3 Conductor and Capacitary Inequalities with Applications to Sobolev-Type Embeddings
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    Chapter 4 Generalizations for Functions on Manifolds and Topological Spaces
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    Chapter 5 Integrability of Functions in the Space $L^{1}_{1}(\varOmega )$
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    Chapter 6 Integrability of Functions in the Space $L^{1}_{p}(\varOmega )$
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    Chapter 7 Continuity and Boundedness of Functions in Sobolev Spaces
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    Chapter 8 Localization Moduli of Sobolev Embeddings for General Domains
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    Chapter 9 Space of Functions of Bounded Variation
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    Chapter 10 Certain Function Spaces, Capacities, and Potentials
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    Chapter 11 Capacitary and Trace Inequalities for Functions in ℝ n with Derivatives of an Arbitrary Order
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    Chapter 12 Pointwise Interpolation Inequalities for Derivatives and Potentials
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    Chapter 13 A Variant of Capacity
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    Chapter 14 Integral Inequality for Functions on a Cube
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    Chapter 15 Embedding of the Space $\mathaccent"7017{L}^{l}_{p}(\varOmega)$ into Other Function Spaces
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    Chapter 16 Embedding $\mathaccent "7017{L}^{l}_{p}(\varOmega, \nu) \subset W^{m}_{r}(\varOmega)$
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    Chapter 17 Approximation in Weighted Sobolev Spaces
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    Chapter 18 Spectrum of the Schrödinger Operator and the Dirichlet Laplacian
Attention for Chapter 16: Embedding $\mathaccent "7017{L}^{l}_{p}(\varOmega, \nu) \subset W^{m}_{r}(\varOmega)$
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Chapter title
Embedding $\mathaccent "7017{L}^{l}_{p}(\varOmega, \nu) \subset W^{m}_{r}(\varOmega)$
Chapter number 16
Book title
Sobolev Spaces
Published by
Springer, Berlin, Heidelberg, January 2011
DOI 10.1007/978-3-642-15564-2_16
Book ISBNs
978-3-64-215563-5, 978-3-64-215564-2
Authors

Vladimir Maz’ya

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