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The existence of non-Euclidean cercles de remplissage in certain subsets of the unit disc
- Source :
- Nagoya Math. J. 19 (1961), 41-47
- Publication Year :
- 1961
- Publisher :
- Duke University Press, 1961.
-
Abstract
- The concept of a “set of ρ-discs” for complex-valued functions defined in the open unit disc U was introduced in [4; 5, p. 265] and various results concerning the existence of such sets associated with spirals and Stolz angles were derived. These sets are non-Euclidean analogues to the classical cercles de remplissage of Milloux [7; 8]. In the present paper additional theorems about Stolz angle phenomena and the existence of ρ-discs in more general subsets of U are established and new proofs are indicated for some results of Seidel [9, Theorem 2 and Corollary 1].
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Nagoya Math. J. 19 (1961), 41-47
- Accession number :
- edsair.doi.dedup.....3d89d8a3a612d19e025952bfbbbd7b7d