Abstract
AbstractWe provide a solution to a long-standing open problem that lives in the interface of pluripotential theory and multivariate approximation theory. The problem is to characterize the holomorphic maps which preserve Hölder continuity of the pluricomplex Green function associated with a compact subset of $${\mathbb {C}}^N$$
C
N
. We also prove, under mild restrictions, that nondegenerate holomorphic maps preserve Markov’s inequality for polynomials.
Publisher
Springer Science and Business Media LLC
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