Rademacher's theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Rademacher's theorem" in English language version.

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Federer 1969, Theorem 2.9.19; Folland 1999, Section 3.5; Rudin 1987, Chapter 7. Federer, Herbert (1969). Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften. Vol. 153. Berlin–Heidelberg–New York: Springer-Verlag. doi:10.1007/978-3-642-62010-2. ISBN 978-3-540-60656-7. MR 0257325. Zbl 0176.00801. Folland, Gerald B. (1999). Real analysis. Modern techniques and their applications. Pure and Applied Mathematics (Second edition of 1984 original ed.). New York: John Wiley & Sons, Inc. ISBN 0-471-31716-0. MR 1681462. Zbl 0924.28001. Rudin, Walter (1987). Real and complex analysis (Third edition of 1966 original ed.). New York: McGraw-Hill Book Co. ISBN 0-07-054234-1. MR 0924157. Zbl 0925.00005.
Evans & Gariepy 2015, Section 3.1; Simon 1983, Section 2.1; Villani 2009, Theorem 10.8(ii); Ziemer 1989, Section 2.2. Simon, Leon (1983). Lectures on geometric measure theory (PDF). Proceedings of the Centre for Mathematical Analysis, Australian National University. Vol. 3. Canberra: Australian National University, Centre for Mathematical Analysis. ISBN 0-86784-429-9. MR 0756417. Zbl 0546.49019. Villani, Cédric (2009). Optimal transport. Old and new. Grundlehren der mathematischen Wissenschaften. Vol. 338. Berlin: Springer-Verlag. doi:10.1007/978-3-540-71050-9. ISBN 978-3-540-71049-3. MR 2459454. Zbl 1156.53003. Ziemer, William P. (1989). Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics. Vol. 120. New York: Springer-Verlag. doi:10.1007/978-1-4612-1015-3. ISBN 0-387-97017-7. MR 1014685. Zbl 0692.46022.
Morrey 1966, Theorem 3.1.6. Morrey, Charles B. Jr. (1966). Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften. Vol. 130. New York: Springer-Verlag. doi:10.1007/978-3-540-69952-1. ISBN 978-3-540-69915-6. MR 0202511. Zbl 1213.49002.
Federer 1969, Section 3.1. Federer, Herbert (1969). Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften. Vol. 153. Berlin–Heidelberg–New York: Springer-Verlag. doi:10.1007/978-3-642-62010-2. ISBN 978-3-540-60656-7. MR 0257325. Zbl 0176.00801.
Ziemer 1989, Theorem 2.2.2. Ziemer, William P. (1989). Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics. Vol. 120. New York: Springer-Verlag. doi:10.1007/978-1-4612-1015-3. ISBN 0-387-97017-7. MR 1014685. Zbl 0692.46022.
Morrey 1966, Theorem 3.1.7. Morrey, Charles B. Jr. (1966). Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften. Vol. 130. New York: Springer-Verlag. doi:10.1007/978-3-540-69952-1. ISBN 978-3-540-69915-6. MR 0202511. Zbl 1213.49002.
Evans & Gariepy 2015, p. 151; Ziemer 1989, pp. 243, 249, 281. Ziemer, William P. (1989). Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics. Vol. 120. New York: Springer-Verlag. doi:10.1007/978-1-4612-1015-3. ISBN 0-387-97017-7. MR 1014685. Zbl 0692.46022.
Villani 2009, Theorem 14.25. Villani, Cédric (2009). Optimal transport. Old and new. Grundlehren der mathematischen Wissenschaften. Vol. 338. Berlin: Springer-Verlag. doi:10.1007/978-3-540-71050-9. ISBN 978-3-540-71049-3. MR 2459454. Zbl 1156.53003.
Evans & Gariepy 2015, Section 4.2; Heinonen 2001, Section 6. Heinonen, Juha (2001). Lectures on analysis on metric spaces. Universitext. New York: Springer-Verlag. doi:10.1007/978-1-4613-0131-8. ISBN 0-387-95104-0. MR 1800917. Zbl 0985.46008.

doi.org

Federer 1969, Theorem 2.9.19; Folland 1999, Section 3.5; Rudin 1987, Chapter 7. Federer, Herbert (1969). Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften. Vol. 153. Berlin–Heidelberg–New York: Springer-Verlag. doi:10.1007/978-3-642-62010-2. ISBN 978-3-540-60656-7. MR 0257325. Zbl 0176.00801. Folland, Gerald B. (1999). Real analysis. Modern techniques and their applications. Pure and Applied Mathematics (Second edition of 1984 original ed.). New York: John Wiley & Sons, Inc. ISBN 0-471-31716-0. MR 1681462. Zbl 0924.28001. Rudin, Walter (1987). Real and complex analysis (Third edition of 1966 original ed.). New York: McGraw-Hill Book Co. ISBN 0-07-054234-1. MR 0924157. Zbl 0925.00005.
Evans & Gariepy 2015, Section 3.1; Simon 1983, Section 2.1; Villani 2009, Theorem 10.8(ii); Ziemer 1989, Section 2.2. Simon, Leon (1983). Lectures on geometric measure theory (PDF). Proceedings of the Centre for Mathematical Analysis, Australian National University. Vol. 3. Canberra: Australian National University, Centre for Mathematical Analysis. ISBN 0-86784-429-9. MR 0756417. Zbl 0546.49019. Villani, Cédric (2009). Optimal transport. Old and new. Grundlehren der mathematischen Wissenschaften. Vol. 338. Berlin: Springer-Verlag. doi:10.1007/978-3-540-71050-9. ISBN 978-3-540-71049-3. MR 2459454. Zbl 1156.53003. Ziemer, William P. (1989). Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics. Vol. 120. New York: Springer-Verlag. doi:10.1007/978-1-4612-1015-3. ISBN 0-387-97017-7. MR 1014685. Zbl 0692.46022.
Morrey 1966, Theorem 3.1.6. Morrey, Charles B. Jr. (1966). Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften. Vol. 130. New York: Springer-Verlag. doi:10.1007/978-3-540-69952-1. ISBN 978-3-540-69915-6. MR 0202511. Zbl 1213.49002.
Federer 1969, Section 3.1. Federer, Herbert (1969). Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften. Vol. 153. Berlin–Heidelberg–New York: Springer-Verlag. doi:10.1007/978-3-642-62010-2. ISBN 978-3-540-60656-7. MR 0257325. Zbl 0176.00801.
Ziemer 1989, Theorem 2.2.2. Ziemer, William P. (1989). Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics. Vol. 120. New York: Springer-Verlag. doi:10.1007/978-1-4612-1015-3. ISBN 0-387-97017-7. MR 1014685. Zbl 0692.46022.
Morrey 1966, Theorem 3.1.7. Morrey, Charles B. Jr. (1966). Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften. Vol. 130. New York: Springer-Verlag. doi:10.1007/978-3-540-69952-1. ISBN 978-3-540-69915-6. MR 0202511. Zbl 1213.49002.
Evans & Gariepy 2015, p. 151; Ziemer 1989, pp. 243, 249, 281. Ziemer, William P. (1989). Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics. Vol. 120. New York: Springer-Verlag. doi:10.1007/978-1-4612-1015-3. ISBN 0-387-97017-7. MR 1014685. Zbl 0692.46022.
Villani 2009, Theorem 14.25. Villani, Cédric (2009). Optimal transport. Old and new. Grundlehren der mathematischen Wissenschaften. Vol. 338. Berlin: Springer-Verlag. doi:10.1007/978-3-540-71050-9. ISBN 978-3-540-71049-3. MR 2459454. Zbl 1156.53003.
Evans & Gariepy 2015, Section 4.2; Heinonen 2001, Section 6. Heinonen, Juha (2001). Lectures on analysis on metric spaces. Universitext. New York: Springer-Verlag. doi:10.1007/978-1-4613-0131-8. ISBN 0-387-95104-0. MR 1800917. Zbl 0985.46008.

stanford.edu

web.stanford.edu

Evans & Gariepy 2015, Section 3.1; Simon 1983, Section 2.1; Villani 2009, Theorem 10.8(ii); Ziemer 1989, Section 2.2. Simon, Leon (1983). Lectures on geometric measure theory (PDF). Proceedings of the Centre for Mathematical Analysis, Australian National University. Vol. 3. Canberra: Australian National University, Centre for Mathematical Analysis. ISBN 0-86784-429-9. MR 0756417. Zbl 0546.49019. Villani, Cédric (2009). Optimal transport. Old and new. Grundlehren der mathematischen Wissenschaften. Vol. 338. Berlin: Springer-Verlag. doi:10.1007/978-3-540-71050-9. ISBN 978-3-540-71049-3. MR 2459454. Zbl 1156.53003. Ziemer, William P. (1989). Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics. Vol. 120. New York: Springer-Verlag. doi:10.1007/978-1-4612-1015-3. ISBN 0-387-97017-7. MR 1014685. Zbl 0692.46022.

zbmath.org

Federer 1969, Theorem 2.9.19; Folland 1999, Section 3.5; Rudin 1987, Chapter 7. Federer, Herbert (1969). Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften. Vol. 153. Berlin–Heidelberg–New York: Springer-Verlag. doi:10.1007/978-3-642-62010-2. ISBN 978-3-540-60656-7. MR 0257325. Zbl 0176.00801. Folland, Gerald B. (1999). Real analysis. Modern techniques and their applications. Pure and Applied Mathematics (Second edition of 1984 original ed.). New York: John Wiley & Sons, Inc. ISBN 0-471-31716-0. MR 1681462. Zbl 0924.28001. Rudin, Walter (1987). Real and complex analysis (Third edition of 1966 original ed.). New York: McGraw-Hill Book Co. ISBN 0-07-054234-1. MR 0924157. Zbl 0925.00005.
Evans & Gariepy 2015, Section 3.1; Simon 1983, Section 2.1; Villani 2009, Theorem 10.8(ii); Ziemer 1989, Section 2.2. Simon, Leon (1983). Lectures on geometric measure theory (PDF). Proceedings of the Centre for Mathematical Analysis, Australian National University. Vol. 3. Canberra: Australian National University, Centre for Mathematical Analysis. ISBN 0-86784-429-9. MR 0756417. Zbl 0546.49019. Villani, Cédric (2009). Optimal transport. Old and new. Grundlehren der mathematischen Wissenschaften. Vol. 338. Berlin: Springer-Verlag. doi:10.1007/978-3-540-71050-9. ISBN 978-3-540-71049-3. MR 2459454. Zbl 1156.53003. Ziemer, William P. (1989). Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics. Vol. 120. New York: Springer-Verlag. doi:10.1007/978-1-4612-1015-3. ISBN 0-387-97017-7. MR 1014685. Zbl 0692.46022.
Morrey 1966, Theorem 3.1.6. Morrey, Charles B. Jr. (1966). Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften. Vol. 130. New York: Springer-Verlag. doi:10.1007/978-3-540-69952-1. ISBN 978-3-540-69915-6. MR 0202511. Zbl 1213.49002.
Federer 1969, Section 3.1. Federer, Herbert (1969). Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften. Vol. 153. Berlin–Heidelberg–New York: Springer-Verlag. doi:10.1007/978-3-642-62010-2. ISBN 978-3-540-60656-7. MR 0257325. Zbl 0176.00801.
Ziemer 1989, Theorem 2.2.2. Ziemer, William P. (1989). Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics. Vol. 120. New York: Springer-Verlag. doi:10.1007/978-1-4612-1015-3. ISBN 0-387-97017-7. MR 1014685. Zbl 0692.46022.
Morrey 1966, Theorem 3.1.7. Morrey, Charles B. Jr. (1966). Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften. Vol. 130. New York: Springer-Verlag. doi:10.1007/978-3-540-69952-1. ISBN 978-3-540-69915-6. MR 0202511. Zbl 1213.49002.
Evans & Gariepy 2015, p. 151; Ziemer 1989, pp. 243, 249, 281. Ziemer, William P. (1989). Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics. Vol. 120. New York: Springer-Verlag. doi:10.1007/978-1-4612-1015-3. ISBN 0-387-97017-7. MR 1014685. Zbl 0692.46022.
Villani 2009, Theorem 14.25. Villani, Cédric (2009). Optimal transport. Old and new. Grundlehren der mathematischen Wissenschaften. Vol. 338. Berlin: Springer-Verlag. doi:10.1007/978-3-540-71050-9. ISBN 978-3-540-71049-3. MR 2459454. Zbl 1156.53003.
Evans & Gariepy 2015, Section 4.2; Heinonen 2001, Section 6. Heinonen, Juha (2001). Lectures on analysis on metric spaces. Universitext. New York: Springer-Verlag. doi:10.1007/978-1-4613-0131-8. ISBN 0-387-95104-0. MR 1800917. Zbl 0985.46008.