English

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

Complex Variables 2007-05-23 v2 Functional Analysis

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.

Cite

@article{arxiv.math/0412359,
  title  = {Zero (sub)sets for spaces of holomorphic functions and (sub)harmonic minorants},
  author = {Bulat N. Khabibullin},
  journal= {arXiv preprint arXiv:math/0412359},
  year   = {2007}
}

Comments

LaTex-2e, 42 pages

R2 v1 2026-07-22T17:13:44.510Z