Geometry of holomorphic mappings and Hölder continuity of the pluricomplex Green function.
| Autor: | Pierzchała, Rafał |
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| Zdroj: | Mathematische Annalen; Apr2021, Vol. 379 Issue 3/4, p1363-1393, 31p |
| Abstrakt: | We 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 C N . We also prove, under mild restrictions, that nondegenerate holomorphic maps preserve Markov's inequality for polynomials. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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