The classes and conformal mapping

Author:
P. R. Garabedian

Journal:
Trans. Amer. Math. Soc. **69** (1950), 392-415

MSC:
Primary 30.0X

DOI:
https://doi.org/10.1090/S0002-9947-1950-0039072-8

MathSciNet review:
0039072

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References | Similar Articles | Additional Information

**[1]**L. V. Ahlfors,*Bounded analytic functions*, Duke Math. J. vol. 14 (1947) pp. 1-11. MR**0021108 (9:24a)****[2]**S. Bergman,*Partial differential equations*, Brown University, Providence, 1941.**[3]**J. A. Clarkson,*Uniformly convex spaces*, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 396-414. MR**1501880****[4]**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)****[5]**-,*Distortion of length in conformal mapping*, Duke Math. J. vol. 16 (1949) pp. 439-459. MR**0030605 (11:21i)****[6]**-,*A new proof of the Riemann mapping theorem*, Proceedings of the Symposium on Conformal Mapping, Institute for Numerical Analysis, Los Angeles, 1949.**[7]**P. R. Garabedian and M. Schiffer,*On existence theorems of potential theory and conformal mapping*, Ann. of Math. vol. 52 (1950) pp. 164-187. MR**0036316 (12:89g)****[8]**M. Schiffer,*The span of multiply connected domains*, Duke Math. J. vol. 10 (1943) pp. 209-216. MR**0008259 (4:271a)****[9]**-,*The kernel function of an orthonormal system*, Duke Math. J. vol. 13 (1946) pp. 529-540. MR**0019115 (8:371a)****[10]**-,*On various types of orthogonalization*, to appear shortly.

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DOI:
https://doi.org/10.1090/S0002-9947-1950-0039072-8

Article copyright:
© Copyright 1950
American Mathematical Society