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A sharp estimate for 𝐴^{𝑝}_{𝛼} functions in 𝐢ⁿ

A sharp estimate for 𝐴^{𝑝}_{𝛼} functions in 𝐢ⁿ

We observe that involutive automorphisms <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="phi Subscript a"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>Ο†<!-- Ο† --></mml:mi> <mml:mi>a</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{\varphi _a}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of the unit ball in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="bold upper C Superscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mrow class="MJX-TeXAtom-ORD"> …