L^p boundedness of the Bergman projection on the generalized Hartogs triangles

2016/09/20 by Tomasz Beberok, Beberok, Tomasz
Mathematics · #32W05 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:32W05

paper · pdf · doi:10.48550/arxiv.1609.06194

6 pages, All comments and remarks are welcome

arxiv created 2016/09/20 · openalex publication_date 2016/09/20 · arxiv updated 2016/09/21 · openalex created_date 2016/09/30 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate a two classes of domains in ℂⁿ generalizing the Hartogs triangle. We prove optimal estimates for the mapping properties of the Bergman projection on these domains.

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• L^p Mapping Properties of the Bergman Projection on the Hartogs Triangle
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