Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A theory of absolutely continuous transformations in the plane
HTML articles powered by AMS MathViewer

by T. Radó and P. Reichelderfer PDF
Trans. Amer. Math. Soc. 49 (1941), 258-307 Request permission
References
    S. Banach Sur une classe de fonctions d’ensemble, Fundamenta Mathematicae, vol. 6 (1924), pp. 170-188. —Sur les lignes rectifiables et les surfaces dont l’aire est finite, Fundamenta Mathematicae, vol. 7 (1925), pp. 225-236.
  • H. E. Bray, Proof of a formula for an area, Bull. Amer. Math. Soc. 29 (1923), no. 6, 264–270. MR 1560720, DOI 10.1090/S0002-9904-1923-03721-X
  • R. Caccioppoli Sulle funzioni additive d’insieme, Rendiconti della R. Accademia di Scienze Fisiche e Matematiche di Napoli, (3), vol. 34 (1927), pp. 150-153. —Trasformazioni piane, superficie quadrabili, integrali di superficie, Rendiconti del Circolo Matematico di Palermo, vol. 54 (1930), pp. 217-262. B. von Kerékjártó Vorlesungen über Topologie, vol. 1, Berlin, 1923. C. Kuratowski Topologie I, Warsaw and Lwów, 1933.
  • E. J. McShane, Integrals over surfaces in parametric form, Ann. of Math. (2) 34 (1933), no. 4, 815–838. MR 1503135, DOI 10.2307/1968701
  • Charles B. Morrey Jr., A Class of Representations of Manifolds. Part I, Amer. J. Math. 55 (1933), no. 1-4, 683–707. MR 1507929, DOI 10.2307/2371162
  • Hans Rademacher, Über partielle und totale Differenzierbarkeit von Funktionen mehrerer Variabeln. II, Math. Ann. 81 (1920), no. 1, 52–63 (German). MR 1511958, DOI 10.1007/BF01563620
  • Tibor Radó, Über das Flächenmaßrektifizierbarer Flächen, Math. Ann. 100 (1928), no. 1, 445–479 (German). MR 1512495, DOI 10.1007/BF01448856
  • On continuous transformations in the plane, Fundamenta Mathematicae, vol. 27 (1936), pp. 201-211.
  • Tibor Rado, A Remark on the Area of Surfaces, Amer. J. Math. 58 (1936), no. 3, 598–606. MR 1507184, DOI 10.2307/2370978
  • On the derivative of the Lebesgue area of continuous surfaces, Fundamenta Mathematicae, vol. 30 (1938), pp. 34-39.
  • Tibor Radó, On absolutely continuous transformations in the plane, Duke Math. J. 4 (1938), no. 1, 189–221. MR 1546044, DOI 10.1215/S0012-7094-38-00415-6
  • S. Saks Theory of the Integral, New York, Stechert, 1937. J. Schauder Über stetige Abbildungen, Fundamenta Mathematicae, vol. 12 (1928), pp. 47-74.
  • Karl Szilárd, Untersuchungen über die Grundlagen der Funktionentheorie, Math. Z. 26 (1927), no. 1, 653–671 (German). MR 1544880, DOI 10.1007/BF01475479
  • C. de la Vallée Poussin Sur l’intégrale de Lebesgue, these Transactions, vol. 16 (1915), pp. 435-501. W. H. Young On a formula for an area, Proceedings of the London Mathematical Society, vol. 18 (1920), pp. 339-374. —On a new set of conditions for a formula for an area, Proceedings of the London Mathematical Society, vol. 21 (1923), pp. 75-94. —Integration over the area of a curve and the transformation of the variables in a multiple integral, Proceedings of the London Mathematical Society, vol. 21 (1923), pp. 161-190.
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 27.2X
  • Retrieve articles in all journals with MSC: 27.2X
Additional Information
  • © Copyright 1941 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 49 (1941), 258-307
  • MSC: Primary 27.2X
  • DOI: https://doi.org/10.1090/S0002-9947-1941-0003698-2
  • MathSciNet review: 0003698