Measure theory and fine properties of functions. (2015)

• Record Type: Book
• Further Information: Note: Lawrence Craig Evans, Ronald F. Gariepy.
• Authors: Evans, Lawrence C, 1949-; Gariepy, Ronald F
• Contents: General Measure Theory; Measures and Measurable Functions; Lusin’s and Egoroff’s Theorems; Integrals and Limit Theorems; Product Measures, Fubini’s Theorem, Lebesgue Measure; Covering Theorems; Differentiation of Radon Measures; Lebesgue Points, Approximate Continuity; Riesz Representation Theorem; Weak Convergence; References and Notes; ; Hausdorff Measures; Definitions and Elementary Properties; Isodiametric Inequality, Hn =Ln ; Densities; Functions and Hausdorff Measure; References and Notes; ; Area and Coarea Formulas; Lipschitz Functions, Rademacher’s Theorem; Linear Maps and Jacobians; The Area Formula; The Coarea Formula; References and Notes; ; Sobolev Functions; Definitions and Elementary Properties; Approximation; Traces; Extensions; Sobolev Inequalities; Compactness; Capacity; Quasicontinuity; Precise Representatives of Sobolev Functions; Differentiability on Lines; References and Notes; ; Functions of Bounded Variation, Sets of Finite Perimeter; Definitions, Structure Theorem; Approximation and Compactness; Traces; Extensions; Coarea Formula for BV Functions; Isoperimetric Inequalities; The Reduced Boundary; Gauss-Green Theorem; Pointwise Properties of BV Functions; Essential Variation on Lines; A Criterion for Finite Perimeter; References and Notes; ; Differentiability, Approximation by C1 Functions; Lp Differentiability; Approximate Differentiability; Differentiability a.e. for W1, p (p>n); Convex Functions; Second Derivatives a.e. for Convex Functions; Whitney’s Extension Theorem; Approximation by C1 Functions; References and Notes; ; Bibliography
• Edition: Revised edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 515.42; Measure theory; Functions
• Languages: English
• ISBNs: 9781482242416; 9781482242393; 9781482242409
• Related ISBNs: 9781482242386
• Notes: Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.