Existence of K-limits of holomorphic maps
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DOVBUSH, Peter. Existence of K-limits of holomorphic maps. In: Mathematical Notes, 2005, vol. 77, pp. 471-475. ISSN 0001-4346. DOI: https://doi.org/10.1007/s11006-005-0045-8
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Mathematical Notes
Volumul 77 / 2005 / ISSN 0001-4346 /ISSNe 1573-8876

Existence of K-limits of holomorphic maps

DOI:https://doi.org/10.1007/s11006-005-0045-8

Pag. 471-475

Dovbush Peter
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 13 februarie 2024


Rezumat

Let D be a complete hyperbolic domain in ℂ n, n >1, and N a compact Hermitian manifold. We prove a criterion for the existence of the K-limit of an arbitrary holomorphic mapf: D → N at an arbitrary boundary point D under the condition that f has the corresponding radial limit at this point. 

Cuvinte-cheie
Complex manifold, Hermitian manifold, K-limit, Kobayashi norm