\(\mathcal M\)-harmonic Bloch functions on the ball
\(\mathcal M\)-harmonic Bloch functions on the ball
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.
\(M\)-harmonic functions, Bloch functions, Harmonic, subharmonic, superharmonic functions in higher dimensions, Bloch functions, normal functions of several complex variables, Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.)
\(M\)-harmonic functions, Bloch functions, Harmonic, subharmonic, superharmonic functions in higher dimensions, Bloch functions, normal functions of several complex variables, Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.)