On uniqueness sets for spaces of holomorphic functions
B. N. Khabibullin, F. B. Khabibullin
TL;DR
This paper refines previous results on uniqueness sets for spaces of holomorphic functions, utilizing recent advances in lower estimates of subharmonic functions related to holomorphic functions.
Contribution
It improves and refines earlier results on uniqueness sets by incorporating recent lower estimates of subharmonic functions associated with holomorphic functions.
Findings
Enhanced criteria for uniqueness sets in holomorphic function spaces
Refined bounds on subharmonic functions related to holomorphic functions
Connections between subharmonic estimates and uniqueness properties
Abstract
In this article are improved and refined some of our results prior to our recent article from the journal "Russian Mathematics (Izvestiya VUZ. Matematika)" in 2015 at the expense of our latest results in 2016 on lower estimates of subharmonic functions by the logarithm module nonzero holomorphic function.
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Taxonomy
TopicsHolomorphic and Operator Theory · Meromorphic and Entire Functions · Analytic and geometric function theory