On a theorem of Mori and the definition of quasiconformality

Bers, Lipman

doi:10.1090/S0002-9947-1957-0083025-7

On a theorem of Mori and the definition of quasiconformality
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by Lipman Bers

Trans. Amer. Math. Soc. 84 (1957), 78-84

DOI: https://doi.org/10.1090/S0002-9947-1957-0083025-7

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References

On quasi-conformal mappings

Lipman Bers, Univalent solutions of linear elliptic systems, Comm. Pure Appl. Math. 6 (1953), 513–526. MR 58830, DOI 10.1002/cpa.3160060407
Lipman Bers, Existence and uniqueness of a subsonic flow past a given profile, Comm. Pure Appl. Math. 7 (1954), 441–504. MR 65334, DOI 10.1002/cpa.3160070303
L. Bers and L. Nirenberg, On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications, Convegno Internazionale sulle Equazioni Lineari alle Derivate Parziali, Trieste, 1954, Edizioni Cremonese, Roma, 1955, pp. 111–140. MR 0076981
B. V. Boyarskiĭ, Homeomorphic solutions of Beltrami systems, Dokl. Akad. Nauk SSSR (N.S.) 102 (1955), 661–664 (Russian). MR 0071620
Renato Caccioppoli, Fondamenti per una teoria generale delle funzioni pseudo-analitiche di una variabile complessa. I, II, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 13 (1952), 197–204, 321–329 (Italian). MR 56718
A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85–139. MR 52553, DOI 10.1007/BF02392130
Robert Finn, On a problem of type, with application to elliptic partial differential equations, J. Rational Mech. Anal. 3 (1954), 789–799. MR 67314, DOI 10.1512/iumj.1954.3.53040
K. O. Friedrichs, The identity of weak and strong extensions of differential operators, Trans. Amer. Math. Soc. 55 (1944), 132–151. MR 9701, DOI 10.1090/S0002-9947-1944-0009701-0

Ueber die Verzerrung bei schlichten nichtkonformen Abbildungen und über eine damit zusammenhängende Erweiterung des Picardschen Satzes

Ueber die Verzerrung bei nichtkonformen schlichten Abbildungen mehrfach zusammenhängender Bereiche

Ueber möglichst konforme Abbildungen von schlichten Bereichen

M. Lavrent′ev, A general problem of the theory of quasi-conformal representation of plane regions, Mat. Sbornik N.S. 21(63) (1947), 285–320 (Russian). MR 0027342
M. A. Lavrent′ev, A fundamental theorem of the theory of quasi-conformal mapping of plane regions, Izv. Akad. Nauk SSSR Ser. Mat. 12 (1948), 513–554 (Russian). MR 0034842
Akira Mori, On quasi-conformality and pseudo-analyticity, Trans. Amer. Math. Soc. 84 (1957), 56–77. MR 83024, DOI 10.1090/S0002-9947-1957-0083024-5

On the solution of quasilinear elliptic partial differential equations

Louis Nirenberg, On nonlinear elliptic partial differential equations and Hölder continuity, Comm. Pure Appl. Math. 6 (1953), 103–156; addendum, 395. MR 64986, DOI 10.1002/cpa.3160060105
Albert Pfluger, Quasikonforme Abbildungen und logarithmische Kapazität, Ann. Inst. Fourier (Grenoble) 2 (1950), 69–80 (1951) (German). MR 44640
S. L. Sobolev, Nekotorye primeneniya funkcional′nogo analiza v matematičeskoĭ fizike, Izdat. Leningrad. Gos. Univ., Leningrad, 1950 (Russian). MR 0052039

Leçons sur les principes topologiques de la théorie des fonctions analytiques

On the maximum dilation of quasi-conformal mappings

Untersuchungen über konforme und quasikonforme Abbildungen

Investigation on the problem of type of a simply-connected Riemann surface

G. T. Whyburn, Introductory topological analysis, Lectures on functions of a complex variable, University of Michigan Press, Ann Arbor, Mich., 1955, pp. 1–14. MR 0070161