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]**Lars V. Ahlfors,*Bounded analytic functions*, Duke Math. J.**14**(1947), 1–11. MR**0021108****[2]**S. Bergman,*Partial differential equations*, Brown University, Providence, 1941.**[3]**James A. Clarkson,*Uniformly convex spaces*, Trans. Amer. Math. Soc.**40**(1936), no. 3, 396–414. MR**1501880**, https://doi.org/10.1090/S0002-9947-1936-1501880-4**[4]**P. R. Garabedian,*Schwarz’s lemma and the Szegö kernel function*, Trans. Amer. Math. Soc.**67**(1949), 1–35. MR**0032747**, https://doi.org/10.1090/S0002-9947-1949-0032747-8**[5]**P. R. Garabedian,*Distortion of length in conformal mapping*, Duke Math. J.**16**(1949), 439–459. MR**0030605****[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. (2)**52**(1950), 164–187. MR**0036316**, https://doi.org/10.2307/1969517**[8]**Menahem Schiffer,*The span of multiply connected domains*, Duke Math. J.**10**(1943), 209–216. MR**0008259****[9]**Menahem Schiffer,*The kernel function of an orthonormal system*, Duke Math. J.**13**(1946), 529–540. MR**0019115****[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