The Zygmund condition for Bloch functions in the ball in 𝐶ⁿ
The Zygmund condition for Bloch functions in the ball in 𝐶ⁿ
In this paper we prove the equivalence of the Bloch condition for a holomorphic function <italic>f</italic> on the ball <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper B Subscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>n</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{B_n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> with the Zygmund second difference condition for a suitable primitive …