A remark on Carleson measures of domains in ℂⁿ

2020/09/19 by Phung Trong Thuc, Thuc, Phung Trong
Mathematics · #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Primary 47B35 #Secondary 32F45

paper · pdf · doi:10.48550/arxiv.2009.09252

openalex publication_date 2020/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide characterizations of Carleson measures on a certain class of bounded pseudoconvex domains. An example of a vanishing Carleson measure whose Berezin transform does not vanish on the boundary is given in the class of the Hartogs triangles ℍ_k:=\ (z₁,z₂)∈ℂ²:|z₁|^k

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