Prescribing zeros of functions in the Nevanlinna class on weakly pseudo-convex domains in $\textbf {C}^ 2$
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- by Mei-Chi Shaw PDF
- Trans. Amer. Math. Soc. 313 (1989), 407-418 Request permission
Abstract:
Let $D$ be a bounded weakly pseudo-convex domain in ${{\mathbf {C}}^2}$ of uniform strict type. For any positive divisor $M$ of $D$ with finite area, there exists a holomorphic function $f$ in the Nevanlinna class such that $M$ is the zero set of $f$. The proof is to study the solutions of $\bar \partial$ with ${L^1}(\partial D)$ boundary values.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 313 (1989), 407-418
- MSC: Primary 32A25; Secondary 32A35, 32F15
- DOI: https://doi.org/10.1090/S0002-9947-1989-0961629-5
- MathSciNet review: 961629