On the Bergman Projection and the Lu Qi-Keng Conjecture
Steven G. Krantz
TL;DR
This paper investigates the boundary behavior of holomorphic functions on certain complex domains, applies these insights to holomorphic mappings, and presents new results related to the Lu Qi-Keng conjecture.
Contribution
It characterizes boundary-extendable holomorphic functions on specific domains and offers novel findings concerning the Lu Qi-Keng conjecture.
Findings
Characterization of boundary-extendable holomorphic functions
Applications to holomorphic mappings
New results on the Lu Qi-Keng conjecture
Abstract
On a reasonable class of domains in , we characterize those holomorphic functions which continue analytically past the boundary. Then we give some applications of this result to holomorphic mappings. In addition, some new results about the Lu Qi-Keng conjecture are treated.
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Taxonomy
TopicsHolomorphic and Operator Theory · Meromorphic and Entire Functions · Analytic and geometric function theory