عنوان

Quasiconformal Mappings and Sobolev Spaces

شابک

9400919220

شابک

9789400919228

شماره

b592739

عنوان اصلي

Quasiconformal Mappings and Sobolev Spaces

نام عام مواد

[Book]

نام نخستين پديدآور

by V. M. Gol'dshtein, Yu. G. Reshetnyak.

محل نشرو پخش و غیره

Dordrecht

نام ناشر، پخش کننده و غيره

Springer Netherlands

تاریخ نشرو بخش و غیره

1990

نام خاص و کميت اثر

(XX, 372 p.).

عنوان فروست

Mathematics and its Applications, Soviet Series, 54.

متن يادداشت

Bibliographic Level Mode of Issuance: Monograph.

متن يادداشت

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.

موضوع مستند نشده

Functional equations.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Measure and Integration.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

by V. M. Gol'dshtein, Yu. G. Reshetnyak.

مستند نام اشخاص تاييد نشده

V M Gol'dshtein

مستند نام اشخاص تاييد نشده

Yu G Reshetnyak

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y