Zero (sub)sets for spaces of holomorphic functions and (sub)harmonic minorants

2004/12/18 by Khabibullin, Bulat N.
#30C15 #30D30 #30D50 #30H05 #31A05 #31A15 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.math/0412359

Abstract

We obtain various general conditions in terms of the balayage and Green's functions under which the sequence of points is the zero set for weighted spaces of holomorphic functions in a domain on the complex plane.

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