Scholarlink

Abstract <p> We prove that weak Möbius-invariant conditions of the BMOA type on the unit ball <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3058_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(B_n\)</EquationSource> </InlineEquation> in <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3058_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb{C}^n\)</EquationSource> </InlineEquation> define the standard space <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3058_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="84" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathrm{BMOA}(B_n)\)</EquationSource> </InlineEquation>. We also obtain descriptions of the hyperbolic class <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3058_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="60" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathrm{BMOA}_h\)</EquationSource> </InlineEquation> of holomorphic mappings of <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3058_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(B_n\)</EquationSource> </InlineEquation> into <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3058_Article_IEq6.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="TEX">\(B_m\)</EquationSource> </InlineEquation>. </p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Weak Definitions of the Hyperbolic BMOA Class

  • 期刊论文

  • 发表日期：

    2025年4月1日

查看全文
  • E. S. Dubtsov

摘要

Abstract

We prove that weak Möbius-invariant conditions of the BMOA type on the unit ball \(B_n\) in \(\mathbb{C}^n\) define the standard space \(\mathrm{BMOA}(B_n)\) . We also obtain descriptions of the hyperbolic class \(\mathrm{BMOA}_h\) of holomorphic mappings of \(B_n\) into \(B_m\) .