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Algebraic Criterion on Quasiconformal Equivalence of Riemann Surfaces

Published online by Cambridge University Press:  22 January 2016

Mitsuru Nakai
Mitsuru Nakai*
Affiliation:
Mathematical Institute, Nagoya University
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1. Various strides have been done to characterize the conformal structure of Riemann surfaces by the algebraic structure of some appropriate function algebras on them (cf. Bers [2], Rudin [29], Royden [26], [28], Heins [7], Kakutani [12], Wermer [33] etc.). In this paper we discuss, corresponding to the above, the problem to determine the quasiconformal structure of Riemann surfaces by the algebraic structure of some function algebras on them.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 16 , February 1960 , pp. 157 - 184
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1960

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