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<p>We prove a contraction property for Bergman space of log-<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12220_2025_2085_Article_IEq3.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="28" /> </InlineMediaObject> <EquationSource Format="TEX">\(n-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>n</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation> subharmonic functions in the unit polydisk, thus extending the results of Kulikov to higher-dimensional space (GAFA (2022)).</p>

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Contraction Property of Holomorphic Functions in the Unit Polydisk \(\mathbb {D}^n\)

  • 期刊论文

  • 发表日期：

    2025年7月7日

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  • David Kalaj

摘要

We prove a contraction property for Bergman space of log- \(n-\) n - subharmonic functions in the unit polydisk, thus extending the results of Kulikov to higher-dimensional space (GAFA (2022)).