<p>It is shown that if the squeezing function corresponding to polydisk tends <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12220_2024_1865_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Lambda \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Λ</mi> </math></EquationSource> </InlineEquation>-non-tangentially to one at a boundary point of a smooth pseudo-convex domain that satisfies the multi-type condition, then this point must be of infinite D’Angelo type.</p>

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Behavior of the Squeezing Function Corresponding to Polydisk in Pseudo-convex Domains Satisfying the Multi-type Condition

  • Houcine Guermazi

摘要

It is shown that if the squeezing function corresponding to polydisk tends \(\Lambda \) Λ -non-tangentially to one at a boundary point of a smooth pseudo-convex domain that satisfies the multi-type condition, then this point must be of infinite D’Angelo type.