Möbius invariant Hilbert spaces of holomorphic functions in the unit ball of 𝐶ⁿ
Möbius invariant Hilbert spaces of holomorphic functions in the unit ball of 𝐶ⁿ
We prove that there exists a unique Hilbert space of holomorphic functions in the open unit ball of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper C Superscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">C</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{\mathbb {C}^n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> whose (semi-) inner product is …