1. Preliminary Information about Integration Theory -- ยง1. Notation and Terminology -- ยง2. Some Auxiliary Information about Sets and Functions in Rn -- ยง3. General Information about Measures and Integrals -- ยง4. Differentiation Theorems for Measures in Rn -- ยง5. Generalized Functions -- 2. Functions with Generalized Derivatives -- ยง1. Sobolev-Type Integral Representations -- ยง2. Other Integral Representations -- ยง3. Estimates for Potential-Type Integrals -- ยง4. Classes of Functions with Generalized Derivatives -- ยง5. Theorem on the Differentiability Almost Everywhere -- 3. Nonlinear Capacity -- ยง1. Capacity Induced by a Linear Positive Operator -- ยง2. The Classes W(T, p, V) -- ยง3. Sets Measurable with Respect to Capacity -- ยง4. Variational Capacity -- ยง5. Capacity in Sobolev Spaces -- ยง6. Estimates of [l, p]-Capacity for Some Pairs of Sets -- ยง7. Capacity in Besov-Nickolsky Spaces -- 4. Density of Extremal Functions in Sobolev Spaces with First Generalized Derivatives -- ยง1. Extremal Functions for (l, p)-Capacity -- ยง2. Theorem on the Approximation of Functions from Lpl by Extremal Functions -- ยง3. Removable Singularities for the Spaces Lpl (G) -- 5. Change of Variables -- ยง1. Multiplicity of Mapping, Degree of Mapping, and Their Analogies -- ยง2. The Change of Variable in the Integral for Mappings of Sobolev Spaces -- ยง3. Sufficient Conditions of Monotonicity and Continuity for the Approximation Functions of the Class Lnl -- ยง4. Invariance of the Spaces Lpl(G)(Lnl(G)) for Quasiisometric (Quasiconformal) Homeomorphisms -- 6. Extension of Differentiate Functions -- ยง1. Arc Diameter Condition -- ยง2. Necessary Extension Conditions for Seminormed Spaces -- ยง3. Necessary Extension Conditions for Sobolev Spaces -- ยง4. Necessary Extension Conditions for Besov and Nickolsky Spaces -- ยง5. Sufficient Extension Conditions -- Comments -- References

1. Mathematics
2. Difference equations
3. Functional equations
4. Measure theory
5. Functions of real variables
6. Mathematics
7. Measure and Integration
8. Difference and Functional Equations
9. Real Functions