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A BSTRACT . We show that if a bounded pseudoconvex domain satisfies the solvability of the bounded ∂ problem, then the ideal of bounded holomorphic functions vanishing at a point… Click to show full abstract
A BSTRACT . We show that if a bounded pseudoconvex domain satisfies the solvability of the bounded ∂ problem, then the ideal of bounded holomorphic functions vanishing at a point α in the domain is generated by ( z − α ) . We also prove a smooth analog of the main result for bounded pseudoconvex domains with a sufficiently smooth boundary and also consider the Bergman space case.
Keywords:
pseudoconvex;
pseudoconvex domains;
solvability gleason;
gleason problem;
bounded pseudoconvex
Journal Title: Complex Analysis and Operator Theory
Year Published: 2022
Link to full text (if available)
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Journal Title: Complex Analysis and Operator Theory
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!