This article is cited in 6 papers

Weak invertibility in weight spaces of analytic functions

F. A. Shamoyan

Bryansk State Pedagogical University

Abstract: Spaces of holomorphic functions in a disc that contain strongly invertible functions that are not weakly invertible are constructed. Moreover, criteria for weak invertibility in weight spaces of entire functions are obtained.

MSC: Primary 30H05, 46E15; Secondary 30D15

Received: 17.01.1995

DOI: 10.4213/im91

 English version: Izvestiya: Mathematics, 1996, 60:5, 1061–1082

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