Gehring, F. W.; Väisälä, J. The coefficients of quasiconformality of domains in space. (English) Zbl 0134.29702 Acta Math. 114, 1-70 (1965). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 60 Documents Keywords:complex functions PDFBibTeX XMLCite \textit{F. W. Gehring} and \textit{J. Väisälä}, Acta Math. 114, 1--70 (1965; Zbl 0134.29702) Full Text: DOI References: [1] Carathéodory, C., Über das lineare Mass von Punktmengen – eine Verallgemeinerung des Längenbegriffs.Nachr. Ges. Wiss. Göttingen (1914), 404–426. · JFM 45.0443.01 [2] Gehring, F. W., Symmetrization of rings in space.Trans. Amer. Math. Soc., 101 (1961), 499–519. · Zbl 0104.30002 [3] –, Extremal length definitions for the conformal capacity of rings in space.Michigan Math. J., 9 (1962), 137–150. · Zbl 0109.04904 [4] –, Rings and quasiconformal mappings in space.Trans. Amer. Math. Soc., 103 (1962), 353–393. · Zbl 0113.05805 [5] –, Quasiconformal mappings in space.Bull. Amer. Math. Soc., 69 (1963), 146–164. · Zbl 0113.29002 [6] –, The Carathéodory convergence theorem for quasiconformal mappings in space.Ann. Acad. Sci. Fenn. Ser. AI, 336/11 (1963), 1–21. [7] Hersch, J., Longueurs extrémales et théorie des fonctions.Comment. Math. Helv., 29 (1955), 301–337. · Zbl 0067.30603 [8] Krivov, V. V., Extremal quasiconformal mappings in space.Dokl. Akad. Nauk SSSR, 145 (1962), 516–518. · Zbl 0142.33501 [9] Loewner, C., On the conformal capacity in space.J. Math. Mech., 8 (1959), 411–414. · Zbl 0086.28203 [10] Marstrand, J. M., Hausdorff two-dimensional measure in 3-space.Proc. London Math. Soc. (3), 11 (1961), 91–108. · Zbl 0109.03504 [11] Newman, M. H. A.,Elements of the Topology of Plane Sets of Points. Cambridge University Press, 1954. [12] Pólya, G. andSzegö, G.,Isoperimetric Inequalities in Mathematical Physics. Ann. of Math. Studies 27, Princeton University Press, 1951. · Zbl 0044.38301 [13] Ŝabat, B. V., The modulus method in space.Dokl. Akad. Nauk SSSR, 130 (1960), 1210–1213. · Zbl 0096.19604 [14] –, On the theory of quasiconformal mappings in space.Dokl. Akad. Nauk SSSR, 132 (1960), 1045–1048. [15] Saks, S.,Theory of the Integral. Warsaw, 1937. · Zbl 0017.30004 [16] Teichmüller, O., Untersuchungen über konforme und quasikonforme Abbildung.Deutsche Math., 3, (1938), 621–678. · Zbl 0020.23801 [17] Väisälä, J., On quasiconformal mappings in space.Ann. Acad. Sci. Fenn. Ser. AI, 298 (1961), 1–36. [18] –, On quasiconformal mappings of a ball.Ann. Acad. Sci. Fenn. Ser. AI, 304 (1961), 1–7. · Zbl 0098.28103 [19] –, On the null-sets for extremal distances.Ann. Acad. Sci. Fenn. Ser. AI, 322 (1962), 1–12. · Zbl 0119.29503 [20] Zoriĉ, V. A., On a correspondence of boundaries forQ-quasiconformal mappings of a sphere.Dokl. Akad. Nauk SSSR, 145 (1962), 31–34. [21] –, Correspondence of the boundaries inQ-quasiconformal mapping of a sphere.Dokl. Akad. Nauk SSSR, 145 (1962), 1209–1212. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.