Subordinating factor sequences and convex functions of several variables

James Miller

Vol. 65 (1976), No. 1, 159–165

DOI: 10.2140/pjm.1976.65.159

Abstract

In this paper we consider univalent holomorphic maps of Eⁿ, the unit disk in Cⁿ. We generalize Wilf’s subordinating factor sequences to functions on Eⁿ and use this characterization to obtain a covering theorem and bounds for convex mappings in Cⁿ.

Mathematical Subject Classification 2000

Primary: 32A30

Milestones

Received: 30 April 1975

Published: 1 July 1976