Isoperimetric Type Inequalities for Mappings Induced by Weighted Laplace Differential Operators

Schwarz Lemma for Solutions of the $$\alpha $$-harmonic Equation

“…Here and hereafter, H k (S n−1 , R n ) denotes the space of spherical harmonic mappings of degree k from S n−1 into R n . For the case when n = 2, we refer to [1,6,9,20,22] for basic properties of the mappings defined in (1.3). For higher dimensional cases, see [17,18,27].…”