| Dewey Class |
515.42 |
| Titel |
Quasiconformal Mappings and Sobolev Spaces ([EBook]) / by V. M. Gol’dshtein, Yu. G. Reshetnyak. |
| Verfasser |
Goldshtein, Vladimir Mikhailovich |
| Added Personal Name |
Reshetnyak, Yurii Grigor'evich |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
Dordrecht : Springer Netherlands , 1990. |
| Physical Details |
XX, 372 pages : online resource. |
| Reihe |
Mathematics and its applications. Soviet series 0169-6378 ; ; 54 |
| ISBN |
9789400919228 |
| Contents note |
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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-94-009-1922-8 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Difference and Functional Equations .
Difference equations .
Functional equations .
Functions of real variables .
Mathematics .
Measure and Integration .
Measure theory .
Quasiconformal mappings .
Real Functions .
Authors:
Corporate Authors:
Series:
Classification:
|
|---|
