Real Analytic Bergman Spaces


Lawrence M.G.
2024B.Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraine

Journal of Mathematical Physics, Analysis, Geometry
2024#20Issue 2221 - 234 pp.

The theory of CR wedge extension is combined with a study of moment conditions to construct a new class of Bergman-type spaces which are characterized by real analyticity, rather than holomorphicity. The spaces have dense subsets of real analytic functions which contain entire functions as a proper subset.

Bergman spaces , bounded point evaluation , CR wedge extension

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