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\(\mathcal M\)-harmonic Bloch functions on the ball - MaRDI portal

\(\mathcal M\)-harmonic Bloch functions on the ball (Q1611403)

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scientific article; zbMATH DE number 1785859
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\(\mathcal M\)-harmonic Bloch functions on the ball
scientific article; zbMATH DE number 1785859

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    \(\mathcal M\)-harmonic Bloch functions on the ball (English)
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    25 February 2003
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    The author studies the \(M\)-harmonic functions on the unit ball of the \(n\)-dimensional complex space. Among other things, he shows that a function is an \(M\)-harmonic Bloch function if and only if the family \(\{f\circ \varphi- f\circ \varphi(0): \varphi\in A\}\) is normal. Here, \(A\) denotes the group of all automorphisms of the unit ball.
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    \(M\)-harmonic functions
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    Bloch functions
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