Quasiconformal Mappings and Sobolev Spaces
Language: English
Published by Springer Netherlands, 1990
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Druck auf Anfrage Neuware - Printed after ordering - 1. Preliminary Information about Integration Theory.1. Notation and Terminology.2. Some Auxiliary Information about Sets and Functions in Rn.3. General Information about Measures and Integrals.4. Differentiation Theorems for Measures in Rn.5. Generalized Functions.- 2. Functions with Generalized Derivatives.1. Sobolev-Type Integral Representations.2. Other Integral Representations.3. Estimates for Potential-Type Integrals.4. Classes of Functions with Generalized Derivatives.5. Theorem on the Differentiability Almost Everywhere.- 3. Nonlinear Capacity.1. Capacity Induced by a Linear Positive Operator.2. The Classes W(T, p, V).3. Sets Measurable with Respect to Capacity.4. Variational Capacity.5. Capacity in Sobolev Spaces.6. Estimates of [l, p]-Capacity for Some Pairs of Sets.7. Capacity in Besov-Nickolsky Spaces.- 4. Density of Extremal Functions in Sobolev Spaces with First Generalized Derivatives.1. Extremal Functions for (l, p)-Capacity.2. Theorem on the Approximation of Functions from Lpl by Extremal Functions.3. Removable Singularities for the Spaces Lpl (G).- 5. Change of Variables.1. Multiplicity of Mapping, Degree of Mapping, and Their Analogies.2. The Change of Variable in the Integral for Mappings of Sobolev Spaces.3. Sufficient Conditions of Monotonicity and Continuity for the Approximation Functions of the Class Lnl.4. Invariance of the Spaces Lpl(G)(Lnl(G)) for Quasiisometric (Quasiconformal) Homeomorphisms.- 6. Extension of Differentiate Functions.1. Arc Diameter Condition.2. Necessary Extension Conditions for Seminormed Spaces.3. Necessary Extension Conditions for Sobolev Spaces.4. Necessary Extension Conditions for Besov and Nickolsky Spaces.5. Sufficient Extension Conditions.- Comments.- References. …
Seller Inventory # 9780792305439
- Title
- Quasiconformal Mappings and Sobolev Spaces
- Author
- Yu. G. Reshetnyak
- Publisher
- Springer Netherlands
- Publication year
- 1990
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 0792305434
- ISBN 13
- 9780792305439
- Item weight
- 706 grams
- Dimensions
- 241x160x26 mm
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