Abstract
For a relatively compact domain $M$ in a complex manifold, we completely characterize in terms of Jensen measures the annihilating measures of the algebra $A(\overline M)$ of holomorphic functions and the space $h(\overline M)$ of pluriharmonic functions continuous on $\overline M$. We also establish the equivalence of Mergelyan type approximation properties of a domain for different function spaces.
Citation
Nihat Gogus. Evgeny A. Poletsky. "Jensen measures and annihilators of holomorphic functions." Illinois J. Math. 53 (2) 679 - 690, Summer 2009. https://doi.org/10.1215/ijm/1266934798
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