• [1] Lars V. Ahlfors, Bounded analytic functions, Duke Math. J. 14 (1947), 1–11. MR 0021108 (9,24a)
• [2] Lars Ahlfors and Arne Beurling, Conformal invariants and function-theoretic null-sets, Acta Math. 83 (1950), 101–129. MR 0036841 (12,171c)
• [3] Stefan Bergman, The Kernel Function and Conformal Mapping, Mathematical Surveys, No. 5, American Mathematical Society, New York, N. Y., 1950. MR 0038439 (12,402a)
• [4] H. F. Bohnenblust, Extensions of functionals on complex linear spaces, Bull. Amer. Math. Soc. 44 (1938), no. 2, 91–93. MR 1563688, http://dx.doi.org/10.1090/S0002-9904-1938-06691-8
• [5] Marcel Brelot, Étude des fonctions sousharmoniques au voisinage d'un point, Paris, 1934.
• [6] Constantin Carathéodory, Conformal representation, Cambridge, 1932.
• [7] James A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), no. 3, 396–414. MR 1501880, http://dx.doi.org/10.1090/S0002-9947-1936-1501880-4
• [8] P. R. Garabedian, Schwarz’s lemma and the Szegö kernel function, Trans. Amer. Math. Soc. 67 (1949), 1–35. MR 0032747 (11,340f), http://dx.doi.org/10.1090/S0002-9947-1949-0032747-8
• [9] P. R. Garabedian, The classes 𝐿_{𝑝} and conformal mapping, Trans. Amer. Math. Soc. 69 (1950), 392–415. MR 0039072 (12,492a), http://dx.doi.org/10.1090/S0002-9947-1950-0039072-8
• [10] G. H. Hardy, On the mean modulus of an analytic function, Proc. London Math. Soc. vol. 14 (1915) pp. 269-277.
• [11] A. J. Macintyre and W. W. Rogosinski, Extremum problems in the theory of analytic functions, Acta Math. 82 (1950), 275–325. MR 0036314 (12,89e)
• [12] Zeev Nehari, On bounded analytic functions, Proc. Amer. Math. Soc. 1 (1950), 268–275. MR 0034457 (11,590b), http://dx.doi.org/10.1090/S0002-9939-1950-0034457-3
• [13] Rolf Nevanlinna, Eindeutige analytische Funktionen, Berlin, 1936.
• [14] M. Parreau, Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann, Ann. Inst. Fourier Grenoble 3 (1951), 103–197 (1952) (French). MR 0050023 (14,263c)
• [15] B. J. Pettis, A proof that every uniformly convex space is reflexive, Duke Math. J. 5 (1939), no. 2, 249–253. MR 1546121, http://dx.doi.org/10.1215/S0012-7094-39-00522-3
• [16] Tibor Radó, Subharmonic functions, Berlin, 1937.
• [17] Freidrich Riesz, Über die Randwerte einer analytischen Funktion, Math. Z. 18 (1923), no. 1, 87–95 (German). MR 1544621, http://dx.doi.org/10.1007/BF01192397
• [18] Frédéric Riesz, Sur les fonctions subharmoniques et leur rapport à la théorie du potentiel, Acta Math. 54 (1930), no. 1, 321–360 (French). MR 1555311, http://dx.doi.org/10.1007/BF02547526
• [19] W. W. Rogosinski and H. S. Shapiro, On certain extremum problems for analytic functions, Acta Math. 90 (1953), 287–318. MR 0059354 (15,516a)
• [20] J. L. Walsh, The Location of Critical Points of Analytic and Harmonic Functions, American Mathematical Society Colloquium Publications, Vol. 34, American Mathematical Society, New York, N. Y., 1950. MR 0037350 (12,249d)
• [21] Stanley S. Walters, The space 𝐻^{𝑝} with 0<𝑝<1, Proc. Amer. Math. Soc. 1 (1950), 800–805. MR 0039920 (12,616g), http://dx.doi.org/10.1090/S0002-9939-1950-0039920-7
• [22] Antoni Zygmund, Trigonometrical series, Warsaw, 1935.

Bibliography

[1]

L. V. Ahlfors, Bounded analytic functions, Duke Math. J. vol. 14 (1947) pp. 1-11. MR 0021108 (9:24a)

[2]

L. V. Ahlfors and Arne Beurling, Conformal invariants and function-theoretic null-sets, Acta Math. vol. 83 (1950) pp. 101-129. MR 0036841 (12:171c)

[3]

Stefan Bergman, The kernel function and conformal mapping, Mathematical Surveys, no. 5, 1950. MR 0038439 (12:402a)

[4]

H. F. Bohnenblust and Andrew Sobczyk, Extension of functionals on complex linear spaces, Bull. Amer. Math. Soc. vol. 44 (1938) pp. 91-93. MR 1563688

[5]

Marcel Brelot, Étude des fonctions sousharmoniques au voisinage d'un point, Paris, 1934.

[6]

Constantin Carathéodory, Conformal representation, Cambridge, 1932.

[7]

J. A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 396-414. MR 1501880

[8]

P. R. Garabedian, Schwarz's lemma and the Szegö kernel function, Trans. Amer. Math. Soc. vol. 67 (1949) pp. 1-35. MR 0032747 (11:340f)

[9]

-, The classes and conformal mapping, Trans. Amer. Math. Soc. vol. 69 (1950) pp. 392-415. MR 0039072 (12:492a)

[10]

G. H. Hardy, On the mean modulus of an analytic function, Proc. London Math. Soc. vol. 14 (1915) pp. 269-277.

[11]

A. J. Macintyre and W. W. Rogosinski, Extremum problems in the theory of analytic functions, Acta Math. vol. 82 (1950) pp. 275-325. MR 0036314 (12:89e)

[12]

Zeev Nehari, On bounded analytic functions, Proc. Amer. Math. Soc. vol. 1 (1950) pp. 268-275. MR 0034457 (11:590b)

[13]

Rolf Nevanlinna, Eindeutige analytische Funktionen, Berlin, 1936.

[14]

Michel Parreau, Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann, Annales de l'Institut Fourier vol. 3 (1951) pp. 103-197. MR 0050023 (14:263c)

[15]

B. J. Pettis, A proof that every uniformly convex space is reflexive, Duke Math. J. vol. 5 (1939) pp. 249-253. MR 1546121

[16]

Tibor Radó, Subharmonic functions, Berlin, 1937.

[17]

Frederic Riesz, Über die Randwerte einer analytischen Funktion, Math. Zeit. vol. 18 (1923) pp. 87-95. MR 1544621

[18]

-, Sur les fonctions subharmoniques et leur rapport à la théorie du potentiel, Acta Math. vol. 54 (1930) pp. 321-360. MR 1555311

[19]

W. W. Rogosinski and H. S. Shapiro, On certain extremum problems for analytic functions, Acta Math. vol. 90 (1953) pp. 287-318. MR 0059354 (15:516a)

[20]

J. L. Walsh, The location of critical points of analytic and harmonic functions, Amer. Math. Soc. Colloquium Publications, vol. 34, 1950. MR 0037350 (12:249d)

[21]

S. S. Walters, The space with , Proc. Amer. Math. Soc. vol. 1 (1950) pp. 800-805. MR 0039920 (12:616g)

[22]

Antoni Zygmund, Trigonometrical series, Warsaw, 1935.