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arxiv: 1601.03014 · v1 · pith:JTCTSCI6new · submitted 2016-01-12 · 🧮 math.CV

An Application of the Pr\'ekopa-Leindler Inequality and Sobolev Regularity of Weighted Bergman Projections

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keywords bergmanekopa-leindlerinequalityprojectionssobolevweightedapplicationboas84
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We prove a general version of \cite[Theorem 4.1]{Boas84} to obtain Sobolev estimates for weighted Bergman projections on convex Reinhardt domains by using the Pr\'ekopa-Leindler inequality.

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