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Carleson Measure in Bergman‐Orlicz Space of Polydisc

An-Jian Xu and Zou Yang

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: Let μ be a finite, positive measure on 𝔻n, the polydisc in ℂn, and let σn be 2n‐dimensional Lebesgue volume measure on 𝔻n. For an Orlicz function φ, a necessary and sufficient condition on μ is given in order that the identity map J:Laφ(𝔻n,σn)→Lφ(𝔻n,μ) is bounded.

Date: 2010
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https://doi.org/10.1155/2010/603968

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