THIS PAGE IN A SEPARATE WINDOW

Some Russian papers on Loewner Theory

Loewner Theory in the disk and half-plane

1936:

• G.M. Goluzin, On distortion theorems in the theory of conformal mappings. Recueil Mathématique Moscou [Mat. Sbornik] N.S. 1(43) (1936), No.1, 127-135 Zbl 0014.22101

• G.M. Goluzin, Sur les théorèmes de rotation dans la théorie des fonctions univalentes (French). Recueil Mathématique Moscou [Mat. Sbornik] N.S. 1(43) (1936), No.3, 293-296 Zbl 0015.07104

1937:

• G.M. Goluzin, Addendum to «On distortion theorems in the theory of conformal mappings». Recueil Mathématique Moscou [Mat. Sbornik] N.S. 2(44) (1937), No.4, 685-688 Zbl 0018.14402

1939:

• G.M. Goluzin, To the theory of univalent functions. Recueil Mathématique Moscou [Mat. Sbornik] N.S. 6(48) (1939), No.3, 383-388 Zbl 0022.36305

1943:

• P.P. Kufarev, On one-parameter families of analytic functions. Recueil Mathématique Moscou [Mat. Sbornik] N.S. 13(55) (1943), No.1, 87-118 Zbl 0061.14905 MR0013800

1946:

• P.P. Kufarev, On integrals of simplest differential equation with moving pole singularity in the right-hand side. Tomsk. Gos. Univ. Uchen. Zap. (1946), No.1, 35-48

1949:

• N.V. Popova, On the transformations produced by the integrals of a class of differential equations. Doklady Akad. Nauk SSSR (N.S.) 65 (1949), No.3, 273-274 Zbl 0041.42201 MR0029026

• N.V. Popova, Investigation of some integrals of the equation  $\color{blue}\frac{dw}{dt}=\frac{A}{w-\lambda(t)}$. Novosibirsk. Gos. Ped. Inst. Uchen. Zap. 8 (1949), 13-26

1950:

• N.V. Popova, On the transformations produced by the integrals of a class of differential equations. Tomsk. Gos. Univ. Uchen. Zap. (1950), No.14, 49-69

1953:

• N.V. Popova, On integrals of a certain differential equation which map a half-plane onto a region whose boundary consists of segments of straight lines. Doklady Akad. Nauk SSSR (N.S.) 91 (1949), No.4, 727-728 Zbl 0052.08202 MR0059368

1954:

• N.V. Popova, Dependence between Löwner's equation and the equation  $\color{blue}\frac{dw}{dt}=\frac1{w-\lambda(t)}$. Izv. Akad. Nauk Belorus.SSR, Ser. Fiz.-Mat. Nauk (1954), No.6, 97-98

1968:

• P.P. Kufarev, V.V. Sobolev, L.V. Sporysheva, A certain method of investigation of extremal problems for functions that are univalent in the half-plane. Trudy Tomsk. Gos. Univ., Ser. Mekh.-Mat. 200 (1968), 142-164 Zbl 0209.10401 MR0257336

• V.V. Sobolev, On the problem of the relative extremum of a certain functional on the class of functions that are univalent in the half plane. Trudy Tomsk. Gos. Univ., Ser. Mekh.-Mat. 200 (1968), 184-188 Zbl 0209.10402 MR0257337

1970:

• V.Ya. Gutlyanski, Parametric representation of univalent functions (English). Soviet Math. Dokl. [Translation from Dokl. Akad. Nauk SSSR] 11 (1970), No.5, 1273-1276 Zbl 0225.30016 MR0271324

• I.A. Aleksandrov, V.V. Sobolev, Extremal problems for certain classes of functions that are univalent in the half-plane. Ukrain. Mat. Zh. 22 (1970), No.3, 291-307 Zbl 0205.38403 MR0267086

• V.V. Sobolev, Parametric representation for some classes of functions univalent in the half-plane. To the method of parametric representation of the class H². Kemerovsk. Ped. Inst. Uchen. Zap. 23 (1970), 30-46

1983:

• I.A. Aleksandrov, S.T. Aleksandrov, V.V. Sobolev Extremal properties of mappings of a half plane into itself. Complex analysis (Warsaw, 1979), 7–32, Banach Center Publ., 11, PWN, Warsaw, 1983 Zbl 0547.30016 MR0737747

1986:

• S.T. Aleksandrov, V.V. Sobolev, Extremal problems in certain classes of univalent functions in the half plane that have finite angular residues at infinity (English). Sib. Math. J. 27 (1986), 145-154 Zbl 0601.30017 MR0890295

Loewner Theory in the annulus

1951:

• G.M. Goluzin, On the parametric representation of functions univalent in a ring. Mat. Sbornik N.S. 29(71) (1951), No.2, 469-476 Zbl 0044.30702 MR0047780

1953:

• Li En Pir On the theory of univalent functions on a circular ring Doklady Akad. Nauk SSSR (N.S.) 92 (1953), No.3, 475-477 Zbl 0052.08101 MR0059357

1955:

• M.P. Kuvaev, P.P. Kufarev, An equation of Löwner's type for multiply connected regions. Tomsk. Gos. Univ. Uchen. Zap. (1955), No.25, 19-34 MR0087734

• N.A. Lebedev, On parametric representation of functions regular and univalent in a ring. Dokl. Akad. Nauk SSSR (N.S.) 103 (1955), 767-768 Zbl 0065.31001 MR0072950

1959:

• M.P. Kuvaev, Generalization of the Loewner type equation for automorphic functions. Trudy Tomsk. Gos. Univ., Ser. Mekh.-Mat. 144 (1959), 27-30

• M.P. Kuvaev, New derivation of the Loewner type equation for doubly connected domains. Trudy Tomsk. Gos. Univ., Ser. Mekh.-Mat. 144 (1959), 45-55