A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
A covering theorem for convex mappings

1964
*
Proceedings of the American Mathematical Society
*

References 1. Richard Arens, Extension of functions on fully normal spaces, Pacifie J. Math. 2(1952), 11-22. 2. O. Hanner, Retraction and extension of mappings of metric and non-metric spaces, The following theorems are classical. Proofs can be found in [l, pp. 214, 223]. Theorem 1. If f(z) is regular and univalent in \z\ <l, f(0) = 0 and /'(0) = 1 then the image domain covers the circle \ w\ < 1/4. Theorem 2. // f(z) is regular and univalent in \z\ <1, /(0) = 0, /'(0) = 1 and the image D is

doi:10.1090/s0002-9939-1964-0158984-3
fatcat:ipq4h5ck2jd35kh6hw3rdvluhq