On the Peano Curves Associated with Some ' " • Onformal Maps

@inproceedings{MACLANE2010OnTP,
  title={On the Peano Curves Associated with Some ' " • Onformal Maps},
  author={GERALD R. MACLANE},
  year={2010}
}
  • GERALD R. MACLANE
  • Published 2010
1. Salem and Zygmund [5], by use of an appropriate Taylor series with gaps, proved that there exists a function, f(z), which is holomorphic in |z| <1, continuous in |z| ^1, and such that the curve w=f(e"), 0^t<2ir, fills some square. Using a different type of series, Piranian, Titus, and Young [4] gave a very simple example which shows also that the curve w… CONTINUE READING