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arxiv: 1603.03838 · v2 · pith:25YSIELVnew · submitted 2016-03-12 · 🧮 math.CV

A note on smoothing properties of the Bergman projection

classification 🧮 math.CV
keywords bergmanholomorphicprojectionboundaryconjugatedomainsfunctionssmoothing
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Recently Herbig, McNeal, and Straube have showed that the Bergman projection of conjugate holomorphic functions is smooth up to the boundary on a class of pseudoconvex domains. We show that a further smoothing property holds on a family of Reinhardt domains; namely, the Bergman projection of conjugate holomorphic functions is holomorphic past the boundary.

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