Vol. 80, No. 2, 1979

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On the multiplicative Cousin problems for Np(D)

K. Adachi

Vol. 80 (1979), No. 2, 297–303
Abstract

Let D be a strictly convex domain in Cn with C2-class boundary. Let Np(D), 1 < p < , be the set of all holomorphic functions f in D such that (log +|f|)p has a harmonic majorant. The purpose of this paper is to show that the multiplicative Cousin problems for Np(D), 1 < p < , are solvable.

Mathematical Subject Classification 2000
Primary: 32E05
Milestones
Received: 28 October 1977
Revised: 19 June 1978
Published: 1 February 1979
Authors
K. Adachi